Question

the angle of a triangle are in the ratio 1 ratio 2 ratio 1 find all the angle of triangle classify the triangle into two different way

Answer 1

$\textbf{\huge{ANSWER:}}$

Given:

Ratio of all the angles of triangle = 1 : 2 : 1

Let the angles be = x , 2x, and x

Due to the Angle Sum Property:

x + 2x + x = 180°
=》 4x = 180°
=》 x = 45°

Angles = 45°, 90°, and 45°

This type of Triangle is known as an Isosceles Traingle.

Hope it Helps!! :)

Answer 2

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

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!!