Question

the three angles of a triangle are in the ratio 1 ratio 2 ratio 1 find all the angles of the triangle classify the Triangles in two different ways

Answer 1

$\mathsf{Here's\: the\: answer}$

Let the common multiple be 'x'

We know that ,

Sum of all angles of triangle is 180°.

As per your question,

x + 2x + x = 180°

4x = 180°

x = 180° / 4

x = 45°

Thus,
The Value of x is 45°.

x = 45°
2x = 2 × 45 = 90°
x = 45°

Thus,
The angles of the triangle are 45° , 45° , 90°.

Thus,
As one of the angles is 90° ,
it is right angled triangle.

Also,
As it is a 45° - 45° - 90°,
It's an isosceles triangle.

Thanks!!

Answer 2

$x + 2x + x = 180$
$4x = 180$
$x = \frac{180}{4}$
$x = 45$
$the \: three \: angles \: of \: triangle \: are \: 45 \: 90 \: 45.$
the three angles of a triangle are 45° , 90° , 45°.