Answered: Construct an equilateral triangle with…

Construct an equilateral triangle with each side having length 2k. Answers through (a) to (d). (a) What is the measure of each angle? (Type a whole number.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 32E

See similar textbooks

Related questions

Q: Are the triangles similar? If so, which similarity theorem is used?

Q: 15. If the altitude of an isosceles triangle is 30 ft. and each of the two angles measure 25°, how…

A: Given Altitude of a triangle is = 30feet Angle between the aides = 25°c and 25°c . We have to…

Q: A land bought by the Dela Cruz brothers were in the form of a triangle with sides 392 m long and 513…

A: area of triangle with two sides and an included angle= 12×side1 ×side2×sinθwhere θ=included angle

Q: Can side d be the base for this triangle? if so, which length would be the corresponding height? if…

A: We are asked to find the height of the given triangle.

Q: The four sequential sides of a quadrilateral have lengths a=5.2, b=6.7, c=8.3, and d=11.7 (all…

Q: a right triangle has leg opposike to angle e of length 9 and its leg adiacent to angle 0 is length…

A: Find your answer below

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems: AA SAS SSS

Q: 15

Q: ) Are the triangles similar? *

A: Given triangle ABC and MNL

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: An angle in minutes can be converted into degrees by dividing it by 60. The area of a triangle is…

Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: Can the sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

Q: What is the smallest scalene triangle you can construct using AngLegs®?

A: Scalene triangles are triangles with three sides of different lengths. all the three sides are…

Q: a triangle has sides with lengths of 7 yards, 10 yards, and 15 yards. Is it a right triangle ?

Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

Q: 15. For a triangle PQR, give one example of a set of angle measures and/or side lengths that would…

A: By using law of cosines.

Q: What is the cross section perpendicular to the base of a square pyramid passing through the vertex?…

Q: What is the length of the hypotenuse for a right triangle with legs of length 8 and 15? O 16 O 18 O…

A: For a right angled triangle, Using Pythagorean theorem, (Hypotenuse)2 = Sum of squares of other two…

Q: In a 30°-60°-90° triangle with hypotenuse 30 cm long, the lengths of the legs are_____ and_____?

A: A triangle is a polygon which has three sides and three angles. A triangle in which one of the…

Q: What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? O 43 O 45 O…

Q: Can the sides of a triangle have lengths of 6.5, 1.3, and 5.4? If so, what kind of triangle is it?…

Q: Is it possible for a triangle to be: a) an acute isosceles triangle? b) an obtuse isosceles…

A: Triangles are the two-dimensional figures bounded by three sides. The triangles are classified on…

Q: Consider a right triangle whose two short sides have lengths of 5 and 12 feet, respectively. Then…

Q: What’s the length of an arc intercepted by a central angle of 46o with a radius of 31.4cm?

A: The given angle is θ=46° and radius is r=31.4 cm. Formula used: Arc length=2πrθ360

Q: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the…

A: Let ABC be a triangle and let x, y & z be the exterior angles at the vertices A, B and C…

Q: A triangle has a base of 6 and height of 5. What is the area of the triangle?

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: A triangle has sides with lengths of 37 meters, 12 meters, and 35 meters. Is it a right triangle?

A: A right triangle always satisfies the Pythagoras theorem. Acc. to Pythagoras theorem : c2 = a2 + b2…

Q: Are these triangles similar? *

A: Here we have to choose the correct option.

Q: 2. What is the measure of angle 1 in degrees? What is the measure of arc 2 in degrees?

Q: What is the sum of the measures of the interior angles of a 25-gon?

A: Given : 25-gon

Q: Is it possible to draw a triangle whose angles measure 70°, 70°, and 50°?

A: Not possible Option d is the correct answer.

Q: A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building…

Q: Why does atleast one leg of the triangle that the pythagorean triple represents must have an even…

A: We need to explain why atleast one leg of the triangle that the pythagoreantriple represents must…

Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing…

Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is Sum of interior…

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

Q: On a softball diamond (actually a square), the distance along the base paths is 60 ft. Using the…

A: Given

Q: 4) The Pythagorean Theorem is only true for what type of triangle?

A: We know that Pythagorean theorem is only used in right angle triangle In a right angle triangle by…

Q: Which property of similarity can be used to prove triangles LKJ and ZYX are similar?

Q: What is the measure of one exterior angle of a regular hexagon?

Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: What is the sum of 4 of the interior angles of a regular octagon? Answer: Submit Answer attempt 1…

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

Q: Are the two triangles similar? How do you know?

A: 2 triangles are said to be similar when the respective angles of the triangles are equal and the…

Q: What is the measure, in degrees, of one interior angle of a regular hexagon?

A: Regular Hexagon consists of 6 sides of equal length and six interior angles of equal length. Below…

Q: What is the measure for each exterior angle for a regular polygon with 200 sides?

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

Question

100%

Please Help with HW. Need to find the measure of all 4 angles.

Construct an equilateral triangle with each side having length 2k.
Answers through (a) to (d).
(a) What is the measure of each angle?
D° (Type a whole number.)

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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

Similar questions

Draw an obtuse triangle and, by construction, find its orthocentre. HINT: You will have to extend the sides opposite the acute angles.
A carpenter joins four boards of lengths 6 ft, 6 ft, 4 ft, and 4 ft, in that order, to form quadrilateral ABCD as shown. a What type of quadrilateral is formed? b How are angles B and D related?
Find the size of A to the nearest second?
The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
A triangle has sides of lengths 6 cm, 8 cm and 10 cm. Find the distance between the center of the inscribed circle and the center of the circumscribed circle for this triangle. Give the answer to the nearest tenth of a centimetre.
The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder and the ground is 73. How high up the building does the ladder touch?
Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?
In right triangle ABC,CD- is the altitude from C to hypotenuse AB-. Name three triangles that are similar to each other.