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Chapter 8: Q. 28 (page 541)

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

A=50掳,C=20掳,a=3

Short Answer

Expert verified

The area of the triangle is 1.89 square units.

Step by step solution

01

Step 1. Given information.

The given values are:

A=50掳C=20掳a=3

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50掳+B+20掳=180掳B=180掳-70掳B=110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=(3)2sin(110掳)sin(20掳)2sin(50掳)K=9(0.94)(0.342)2(0.766)K=1.88859...K鈮�1.89

04

Step 4. Conclusion.

The area of the triangle is 1.89 square units.

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