Question

The measures of the angles of a triangle are in the ratio 4 : 11 : 15. What type of
triangle is it?​

Answer 1

Answer:

Let A , B and C are three angles

of ∆ABC.

it is given that ,

A : B : C = 4 : 11 : 15

Let A = 4x ,

B = 11x ,

C = 15x

<A + <B + <C = 180°

[ Angle sum property ]

4x + 11x + 15x = 180°

=> 30x = 180

=> x = 180/30

=> x = 6

Therefore ,

<A = 4x = 4 × 6 = 24

<B = 11x = 11 × 6 = 66

<C = 15x = 15 × 6 = 90°

Here ,

In ∆ABC , <C = 90°

∆ABC is a right angled triangle.

hope this helps...

Answer 2

Step-by-step explanation:

let the angles be =4x,11x,15x

4x+11x+15x = 180° (angle sum property of triangle )

30x = 180°

x = 180/30

x = 6

angle 1 = 6×6= 36°

angle 2 = 11×6 = 66°

angle 3 = 15×6 = 90°

it is right angled triangle since one of its angle measure 90°