Question

If all the angles of the triangle are in ratio of 2.3:5. then find out measurement of
all the angles. Identify the type of triangle​

Answer 1

Answer:

72°,108°,90°

Explanation:

let the ratios be 2x 3x and 5x

2x+3x+5x= 180

10x = 180

x= 18

Answer 2

Answer:

The angles are 36°, 54°, 90° and the triangle that is formed is scalene triangle.

Explanation:

Let the angles of the triangle be 2 k, 3 k and 5 k.

By Angle Sum Property of a triangle,

2 k + 3 k + 5 k = 180  

⇒ 10 k = 180

⇒ k = 18

Thus, the angles of the triangle are 36° , 54° , 90° (by putting the value of k in the first equation)

The type of triangle formed is scalene triangle, since all the angles of the triangle are unequal.

Hope this helps ya.