Question

The three angles of a triangle
are in the ratio 2:3:5 . Find
the measure of each angle classify.
the triangle (36, 54,90). (right
engled triangled).​

Answer 1

ratio of triangles 2:3:5

let the ratio be x

2x,3x,5x equation 1

sum of all angles =180°

2x+3x+5x=180°

10x=180

x=180/10

x=18

put value of x in equation 1

2x=2×18= 36°

3x=3×18=54°

4x=5×18=90°

so measure of all angles are 36°,54°,90°

Answer 2

Let the first angle, second angle and third angle be 2x, 3x and 5x respectively

2x+3x+5x=180° [Sum angle property of triangle]

10x =180°

x=180°/10

x=18°

First angle = 2x= 2×18° =36°

Second angle = 3×18°=54°

Third angle= 5×18°= 90°

Larger angle is 90°

Therefore, It is a right angle triangle.