Question

. which type of triangle obtained . if the angles of triangle are in ratio 4:5:9​

Answer 1

Let,

Angles 4x, 5x and 9x

By Angle sum property

=> 4x + 5x + 9x = 180°

=> 18x = 180°

=> x = 180/18

=> x = 10

Angles =>

4x = 4 × 10 = 40°

5x = 5 × 10 = 50°

9x = 9 × 10 = 90°

This is Right angle triangle.

Answer 2

Right angled triangle

Let the angles be 4x,5x and 9x

4x+5x+9x=180⁰

18x=180⁰

⇒x=10⁰

So the angles are

4×10 ⁰=40⁰

5×10⁰ =50⁰

9×10⁰=90⁰

One of the angle is 90⁰, so the triangle is right angled triangle.