Question

The three angles of a triangle are in the ratio 1 : 2 : 1. Find the angles of the triangle . Classify the triangle on basis of their angles.

Answer 1

Let the angles be x,2x and x.
So, $x+2x+x={180}^{\circ }$
$\Rightarrow 4x={180}^{\circ }$
$\therefore x={45}^{\circ }$
The angles are ${45}^{\circ },{90}^{\circ },{45}^{\circ }$. So this triangles can be classified as:
$1)right\Delta$
$2)isosceles\Delta$