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Chapter 8: Q. 37 (page 535)

In the given problem solve the triangle using either the law of sines or law of cosines-

B=35掳,C=65掳,a=15

Short Answer

Expert verified

Required values of the triangle are,

b鈮�13.2,c鈮�13.5,A=80掳

Step by step solution

01

Step 1. Given information

In the given triangle,

B=35掳,C=65掳,a=15

We know Law of sines,

sinAa=sinBb=sinCc

02

Step 2. Calculation

We know, sum of all angles of a triangle i.e.

A+B+C=180掳鈬�A+35掳+65掳=180掳鈬�A=180掳-100掳鈬�A=80掳

For side b,

sinAa=sinBb

鈬�sin80掳15=sin35掳b鈬�b=0.570.98脳15鈬�b鈮�13.2

For side c,

sinAa=sinCc鈬�sin80掳15=sin65掳c鈬�c=0.90.98脳15鈬�c鈮�13.5

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