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Chapter 8: Q. 27 (page 541)

Find the area of the triangle. Round answer to two decimal places.

A=40掳,B=20掳,a=2

Short Answer

Expert verified

The area of the triangle is 0.92 square units.

Step by step solution

01

Step 1. Given information.

The given values are:

A=40掳B=20掳a=2

02

Step 2. Determine the third angle.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

A+B+C=180掳40掳+20掳+C=180掳C=180掳-60掳C=120掳

03

Step 3. Determine the area of the triangle.

The area of a triangle is:

K=a2sinBsinC2sinA

Substitute the values in the above formula.

K=(2)2sin(20掳)sin(120掳)2sin(40掳)K=4(0.342)(0.866)2(0.643)K=0.921219...K鈮�0.92

04

Step 4. Conclusion.

The area of the triangle is 0.92 square units.

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