Question

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

Answer 1

one solution

Explanation:

Answer 2

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