Question

The three angles of a triangle are in the ratio $1:2:1.$ Find all the angles of the triangle, classify the triangle in two different ways.

Answer 1

Let ABC be the D

Let $\angle A=x$

$\angle B=2x$

$\angle C=x$

$\angle A+\angle B+\angle C=180$

$4x=180$

$x=45$

$\angle A=45$

$\angle B=90$

$\angle C=45$

Since $\angle A=\angle C$

ABC is isosceles $D^4$.

Since $\angle B=90$

ABC is Right angled at $B$.