Question

Find the measurement of the unknown parts of ABC Show your complete solution on a separate sheet of pad paper 1. LA = 500, b = 81cm, a = 95 cm

thanks in advance ♥️
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Answer 1

Given : Triangle ABC

b = 81 cm  a  = 95 cm   ∠A = 50°

To Find : Other Measurements :

Solution:

Using cosine rule :

c²  = a² + b²  - 2abCosC

=> c² = 81²  + 95² - 2(81)(95) Cos50°

=> c²  = 5,693.5

=> c = 75.455

a/SinA  = b/SinB  = c/SinC

=> 95/SinA  =  81/SinB  =  75.455/Sin50°

=> B = 55.32°

A = 74.68°

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