Question

the measures of angle of a triangle are in the ratio 5:6:7. What type of triangle is it ?

Answer 1

Let the angles be 5a,6a and 7a respectively

By angle sum property of triangle,

=> 5a +6a +7a = 180

=> 18a = 180

=> a = 10

First angle = 50°

Second angle = 60°

Third angle = 70°

Hence, it is an acute angled triangle.

Answer 2

let the angles be 5x,6x and 7x

➡5x+6x+7x=180°

➡18x=180°

➡x=10°

therefore,5x➡50°

6x➡60°

7x➡70°

it is an acute angled triangle