How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

Question

asked Nov 19, 2020 68.9k views

2 Answers

Dimuth Ruwantha · Answer 1 · 2020-11-23T08:51:21+0000

Answer:one solution

Explanation:

Given

a=42

b=34

angle A=117

using sine rule

(a)/(sinA)=(b)/(sinB)=(c)/(sinC)

(42)/(sin117)=(34)/(sinB)

sinB=(34)/(42)* sin(117)

sinB=0.7212

$B=46.161 ^(\circ)$

and A+B+C=180

$C=16.839^(\circ)$

Thus 2 triangles can be formed with given value