Question

The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is a/an ___________ triangle.

Answer 1

Let the measure of three angles of the triangle be 5x, 3x and 7x.

Now,

$5x+3x+7x=180°$ (Angle sum property of triangle)

$\Rightarrow 15x=180°$

$\Rightarrow x=\frac{180°}{15}=12°$

$\therefore 5x=5\times 12°=60°,3x=3\times 12°=36°$ and $7x=7\times 12°=84°$

So, the measure of the angles of the triangle are 60º, 36º and 84º.

A triangle, each of whose angles is acute, is called an acute triangle. Thus, the triangle is an acute triangle.

The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is a/an __acute__ triangle.