Question

The measure of the angles of a triangle are in the ratio 4 : 11: 15 what type of triangle is it.

Answer 1

Solution :

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.

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Answer 2

It is scalene triangle