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Chapter 8: Q. 29 (page 541)

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

B=70掳,C=10掳,b=5

Short Answer

Expert verified

The area of the triangle is 2.27 square units.

Step by step solution

01

Step 1. Given information.

The given values are:

B=70掳C=10掳b=5

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A+70掳+10掳=180掳B=180掳-80掳B=100掳

03

Step 3. Determine the area of the triangle.

The area of a triangle is:

K=b2sinAsinC2sinB

Substitute the values in the above formula.

K=(5)2sin(100掳)sin(10掳)2sin(70掳)K=25(0.9848)(0.1736)2(0.9397)K=2.2741...K鈮�2.27

04

Step 4. Conclusion.

The area of the triangle is 2.27 square units.

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