# The ratio of the angle measures in a triangle is 3:7:8. How do you find the angle measures and then classify the triangle by its angle measures?

Sep 5, 2016

${30}^{\circ} , {70}^{\circ} , \mathmr{and} , {80}^{\circ}$.

It is an acute-angled triangle.

#### Explanation:

The ratio of the measures of $\angle$s in $\Delta$ is $3 : 7 : 8$.

So, let us suppose that the measures are, $3 k , 7 k , 8 k$.

Evidently, their sum is ${180}^{\circ}$.

$\therefore 3 k + 7 k + 8 k = 180$

$\therefore 18 k = 180$

$\therefore k = 10$

Hence, the measures are, ${30}^{\circ} , {70}^{\circ} , \mathmr{and} , {80}^{\circ}$.

As all the angles are acute, so is the triangle.