17. A local park in the shape of a triangle is being redesigned. The fencing around the park is made of three sections. The lengths of the seetions of fence are 27 m, 36 m, and 46 m. The designer of the park says that this triangle is a right triangle. Is he correct? Explain.

17. A local park in the shape of a triangle is being redesigned. The fencing around the park is made of three sections. The lengths of the seetions of fence are 27 m, 36 m, and 46 m. The designer of the park says that this triangle is a right triangle. Is he correct? Explain.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 47E

See similar textbooks

Related questions

Q: Consider an isosceles triangle whose leg measures 2 cm. Let be the vertex angle (the angle between…

Q: 10. Determine whether AXYZ is scalene, isosceles, or equilateral. work:

Q: 2. Where is the circumcenter of an obtuse triangle located? on one of the legs on the hypotenuse…

Q: 7. Construct a right triangle with legs of lengths a and b.

A: Topic:- right angle triangle A triangle in which one of the measures of the angles is 90 degrees is…

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

A: We will illustrate that the sum of the measures of the angles of an elliptic triangle is more than…

Q: 6. What is the difference between the sum of the measures of the interior angles of a regular…

Q: Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many…

A: Pigeonhole Principle: If n pigeonholes are occupied by n+1 or more pigeons, then at least one…

Q: Find the perimeter of the triangle with ver an isosceles triangle?

Q: 2. The diagram of Andy's Pizza Shack is on the left. What is the perimeter of the building? 5 ft 5…

A: perimeter of rectangle = 2(length +breath) perimeter of triangle = sum of the side

Q: 5. If two polygons are SIMILAR, then the corresponding sides must be [A] proportional [B] similar…

A: A option is correct. ProportionalThere are two conditions (tests) for two polygons to be similar:…

Q: Anish said that he made a triangle that had side lengths of 5 units, 5 units and 5 units. Is this a…

Q: 13) How would you classify a triangle by it's SIDES if they measured 9.7 inches, 6.2 inches, and 3.1…

Q: %23 What is RN? * Quadrilateral MNPQ is shown. N. 4.1 30 32 M Q If MP = 5.9, what is RN?

Q: B The picture is made up of a regular quadrilateral and a regular pentagon. What is the degree…

Q: 5. Miranda is covering a isosceles triangular prism with fabric. The base of the isosceles triangle…

A: We have given the base and height of the isosceles triangle B = 12 cm , h = 8cm And height of the…

Q: Use the Law of Sines

Q: 2. A semicircle will be drawn with the unknown side of a triangular lot as its diameter. Calculate…

A: Perimeter of the above image = ?

Q: What is the length of the side between point A and point B?

Q: 4. Tell me everything that you can about the sides and angles of a regular octagon.

A: Solution: When an octagon has all equal sides and equal angles, then it is defined as a regular…

Q: The ratio between the sector areas of two sectors of the same circle is 4:9. What is the ratio…

A: Given : The ratio between the sector areas of two sectors of the same circle is 4 : 9. To find…

Q: Draw a scalene triangle wherein the measure of the longest side is greater than the sum of the…

A: We will find answer to the question as following.

Q: 2. Classify the triangle by its sides. 7 in, 7 in. obtuse triangle isosceles triangle scalene…

Q: 12. Why are constructions necessary in geometry? to create lines to create shapes to create…

Q: The guidelines set forth by the National Kitchen & Bath Association recommends that the perimeter of…

A: We need to find the perimeter of traingle.We find all sides and then add them.First side:-…

Q: 2. What is the perimeter of a 30°- 60°- 90° Right Triangle, whose shorter leg is 7 inches long?…

Q: 40 20

A: The angle box represents 90 degree. It is a right angle . We know the sum of angles in a right angle…

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: 13. If an equilateral triangle has an altitude that is 15 inches long. What is the length of the…

A: Since, we hhave been given that an equilateral triangle has an altitudethat is 15 inches long. Our…

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

Q: An altitude of an equilateral triangle has length 6\/3 . What is the perimeterof the triangle?

A: An altitude of an equilateral triangle has length 63. What is the perimeterof the triangle?…

Q: A rectangular glass window is divided into two equivalent right triangles by a diagonal brace. 9"…

A: Given:a=9 inchesb=12 inchesPythagorean theorem:c2=a2+b2

Q: Is a triangle with side lengths 7, 4/5 & 2 acute, right, obtuse or not possible?

A: 1. Given

Q: Can the sides of a triangle have lengths 3.4, 8.2, and 11.6? yes no

A: Given 3.4 , 8.2 and 11.6

Q: S. The Converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle.…

Q: 16. Suppose that ABCD is a quadrilateral inscribed in a circle and that AC is a diameter of the…

A: We have to find measure of the angles.

Q: 1. If a triangle with a perimeter of 10in is translated (x,y)→(x-2,y+2), what is the perimeter of…

A: The objective is to find the perimeter of the image.

Q: 9. A baseball diamond has four right angles and four equal sides. Each side is 90 feet. 2d base What…

Q: O Which three side lengths below could NOT be used to construct a triangle?

A: Note: Hi! Thank you for your question. Since, we only answer one question in case of multiple…

Q: 4 A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

Q: Consider the triangle below. What is the perimeter of the triangle?

Q: 2 7) The circumference of the above triangle is

Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

Q: 7. What is the classification of the triangle by its angles and by its sides? A. right, isosceles C.…

A: Triangles can be classified by their sides and by their angles. So , now , we will check the…

Q: Jimmy says that AXYZ, where X (5,3), Y (4,0), and Z(-1,5), is a right triangle. Is Jummy correct?…

Q: 1. Calculate the EXACT length for the sides x and y by "special" triangles properties. 60 y 3/3

Q: 9.) What is the measure of angle x in the equilateral triangle? G to

A: Given that an equilateral triangle, From the figure, ∠I=x° In equilateral triangle all sides and…

Q: 13. The perimeter of rhombus ABCD is 60 feet and .ZABC = 60. What are the lengths of the diagonals?…

A: Given, Perimeter of Rhombus = 60 feet Diagonals of a rhombus bisect angles at vertices.Diagonals of…

Q: 5. What is the length of the missing side of the triangle?

A: Given, A triangle is shown below :

Q: 2) Select all true options about the triangle below. (L2) 600 12 cm X= 4/3 у-24 X-6 y=8v3

Q: We want to build an isosceles triangle with a height of 3 cm and a perimeter of exactly 10 cm. What…

Question

8:03
17. A local park in the shape of a triangle is being redesigned. The fencing around
the park is made of three sections. The lengths of the seetions of fence are 27 m,
36 m, and 46 m. The designer of the park says that this triangle is a right triangle.
Is he correct? Explain.
1/1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
A copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.
Solve these exercises. A company produces spherical copper parts with 1.46-inch diameters. Each part weighs 0.523 pound. A larger spherical copper part 2.27 inches in diameter is planned. Determine the weight of the larger part. Round the answer to 2 decimal places.
In Exercises 44 and 45, use the formula from Exercise 43. Similar triangles were used to find h and H. A container of yogurt has the shape of a frustum of a cone. With the lower base having diameter length 6 cm and the upper base having diameter length 8 cm, the volume of such a container 7.5 cm tall can be determined by using H=30 cm and h=22.5 cm. Find its volume. A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
On a small lake, you swim from point A to point B at a bearing of N28E, then to point C at a bearing of N58W, and finally back to point A, as shown in the figure below. Point C lies 800 meters directly north of point A. Approximate the total distance that you swim.
Architecture A mason is building a semielliptical arch that has a height of 4 feet and a width of 10 feet. Where should the foci be placed in order to sketch the arch?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.