Question

How do you solve the triangle given ∠A = 26°, ∠C = 35°, b = 13?

Answer 1

Sine law

Explanation:

Since we know two angles, we find the final angle by adding ∠A with ∠C and subtracting it from 180.
`180-(26+35)`
∠B = 119

Then we can use sine law `sinA/a=sinB/b=sinC/c` to find the remaining sides
`sin26/a=sin119/13`
`a= 6.516`

`sin35/c=sin119/13`
`c=8.525`

∠B = 119, a = 6.156, c = 8.525