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

Feb 26, 2018

It’s a right triangle with angles measuring ${30}^{\circ} , {60}^{\circ} , {90}^{\circ}$

Only one solution possible.

#### Explanation:

$a = 5 , b = 10 , \hat{A} = {30}^{\circ}$

$\sin B = \frac{\sin 30 \cdot 10}{5} = 1 \mathmr{and} \hat{B} = {90}^{\circ}$

$\hat{C} = 180 - 30 - 90 = {60}^{\circ}$

It’s a right triangle with angles measuring ${30}^{\circ} , {60}^{\circ} , {90}^{\circ}$