Question

If the 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

Step-by-step explanation:

let 1:2:1 be x:2x:x

4x equals 180 degrees.

x=45 degrees

the angles are 45:90:45

this is an isoseles right angle triangle

Answer 2

Step-by-step explanation:

Note :

Sum of angles of triangle = 180°

Ratio of angles = 1:2:1

Hence the angles = 1x, 2x and 1x

=> 1x + 2x + 1x = 180

=> 4x = 180

=> x = 180/4

=> x = 45

1st angle = 1x = 1 ( 45 ) = 45°

2nd angle = 2x = 2 (45) = 90°

3rd angle = 1x = 1 (45) = 45°

Two types of triangles are

• Right angle triangle ( it has 90° )
• Isosceles triangle ( two equal angles )