sides of triangle ABC were measured as follows: AB = 179.26 m, BC = 308.73 m, and CA = 261.25 m. Calculate the area in square meters and in hectares using: a.) Heron's formula, b.) Two sides and included angle

sides of triangle ABC were measured as follows: AB = 179.26 m, BC = 308.73 m, and CA = 261.25 m. Calculate the area in square meters and in hectares using: a.) Heron's formula, b.) Two sides and included angle

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 10CC

See similar textbooks

Related questions

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

Q: Find the measure of an exterior angle of a regular polygon with 10 sides. (round to the nearest…

Q: what is the area of a triangle with sides a and b and an included angle.

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

Q: Solve for the TSA (in square feet) given the dimensions of the square bases and the slant height…

A: Now the area of base is not exposed as its in touch of ground, hence we won't consider it.

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: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: Find the area of a triangle with sides of length 9 and 13 and included angle 56°.

Q: of a triangle with sides of length

A: Here we have to find the area of the triangle with sides of length 12 and 22 and an included angle…

Q: The sides of a parallelogram, which measure 7 cm and 17 cm, form an angle of 62 degree. How long is…

A: Given : Parallelogram sides = 7 cm , 17 cm Angel = 65°

Q: The measure of each central angle of a regular polygon is 36° a. How many sides does this regular…

A: Given: The measure of each central angle of a regular polygon is 36°. To determine: a) Number of…

Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios Area of parallelogram = Base X Height

Q: To construct a regular dodecagon (12 sides), what measure would be necessary for each interior…

A: dodecagon is a polygon that has 12 sides and we have to find the interior angles of that polygon by…

Q: a hip roof is in the form of four congruent isosceles triangles with base angles of 30 degrees and…

A: Let the base of the triangle be: 2x

Q: What is the formula for the sum of the interior angle measures in any polygon with "n" sides?

A: let's us consider a polygon having n-sides . there will be exterior as well as interior angles.

Q: Which triangles are congruent based on the markings in the given figure?

A: According to given figure in ∆ETS, ∆TEN, ∆NHT and ∆HNO ET=HN…

Q: Which maps AABC to a similar triangle?

A: We have to find the mapping of △ABC to a similar triangle. In the given option, (1) D4 which means…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Given that, An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: side

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: Find the area of the parallelogram. 5.6 in 7.4 in 8 in The area is lin?

A: Area of the paralleogram = base ×height Given, base=5.6 in Height=7.4 in

Q: If the lengths of the sides of two triangles are in proportion, then the corresponding angles…

A: Given- If the lengths of the sides of two triangles are in proportion, then the corresponding angles…

Q: An isosceles triangular truss has congruent sides of length of 20 feet and the altitude to the base…

Q: The lengths of the sides of a triangle are 5 cm, 12 cm, and 13 cm. Find the lengths, to the nearest…

A: Consider the given: And AD, BE and CF are the angle bisectors. By using angle bisector theorem:

Q: Find the sum of the measures of the interior angles of each polygon. 1. Pentagon 2.Octagon…

Q: In a 45°-45°-90° triangle with legs 20 cm long, the length of the altitudeto the hypotenuse is…

A: Given: A 45°-45°-90° triangle with legs 20 cm long is given To Find: The length of the hypotenuse

Q: An isosceles triangle has an area of 29 cm2, and the angle between the two equal sides is 5π/6. Find…

A: Given,

Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: Find the measure of a central angle of a regular polygon with (a) 10 sides,(b) 15 sides, (c) 360…

A: All central angles would add up to 360 degrees (a full circle), so the measure of the central angle…

Q: The 14-in. square concrete column shown in the figure is hoisted using a chain that is 80in. long.…

A: Concrete column is a square crossection with side a = 14 in Chain total length l =80 in

Q: In a right triangle, The side opposite angle O has a length of 29.0 meters, the side adjacent to…

A: Use formula of trigonometric ratio cot

Q: 3. The length of the side opposite the 30 angle of a 30-60-90 triangle is 323 ft. Determine the…

Q: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

Q: Can the sides of a triangle have lengths 5, 11, and 14?

A: Given, The side lengths of the triangle are 5,11 and 14.

Q: (a) If the radius of a circle is 5 cm, what angle is subtended by an arc of 6 cm?(b) If a circle has…

A: Dear student, In the sub part (b) the central angle is not mentioned. Please re post it by…

Q: Suppose the two triangles shown below are congruent. If AB = 3.7 units, BC = 2.1 units, and AC = 9.8…

Q: In circle O, AE measures of each of the five angles in pentagon ABCDE. = 120° and CD = 42°. Find the

A: Consider the given circle O Given AE⏜=120° and CD⏜=42° We have to find five all angle within he…

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: What is the smallest and biggest angles of triangle whose side are 26cm, 18cm and 24cm long?

Q: Construct a triangle with a side length 15cm,a side length 5cm ,and an angle of 44 degrees

Q: 8. Find the missing side of a right triangle if A. Area = 20 cm?, height = 10 cm %3D B. Area = 46…

Q: What is the approximate degree measure of an angle of 4.59 rad?

A: Given problem is : What is the approximate degree measure of an angle of 4.59 rad?

Q: Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an…

Q: If two angles of an isoceles triangle measures 35 degrees and the base of the triangle is 18-feet,…

Q: What is the equivalent degree measure for an angle that measures 29pi/18?

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

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: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove

Question

The sides of triangle ABC were measured as follows: AB = 179.26 m, BC = 308.73 m, and CA = 261.25 m. Calculate the area in square meters and in hectares using: a.) Heron's formula, b.) Two sides and included angle

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.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In Exercises 29 to 32, use the fact that triangles are similar. Rhydian while walking away from a 10-ft lamppost casts a shadow 6 ft long. If Rhydian is at a distance of 10 ft from the lamppost at that moment, what is Rhydians height?
A triangle has angles measuring 30, 30, and 120. If the congruent sides measure 6 units each, find the length of the radius of the circumscribed circle.
In the support system of the bridge shown, AC=6ft and mABC=28. Find: a mRST b mABD c BS HINT: The smaller triangles shown in the figure are all congruent to each other.
a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?