Question

How do you determine the number of possible triangles and find the measure of the three angles given `a=5, b=10, mangleA=30`?

Answer 1

It’s a right triangle with angles measuring `30^@, 60^@, 90^@`

Only one solution possible.

Explanation:

`a = 5, b = 10, hat A = 30^@`

`sin B = (sin 30 * 10) / 5 = 1 or hat B = 90^@`

`hat C = 180 - 30 - 90 = 60^@`

It’s a right triangle with angles measuring `30^@, 60^@, 90^@`