Question

The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle. The sum of two numbers is 11 and their difference is 5. Find the numbers. If the sum of two consecutive numbers is 11, find the numbers​

Answer 1

Question

Angles of a triangle are in the ratio 2:3:4.then find the angles

Medium

Solution

Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.

So let us consider the angles as 2x,3x and 4x.

2x+3x+4x=9x

Angle sum of triangle is 180∘

so 9x=180 

or x=9180=20∘

∴,2x=2×20=40∘

3x=3×20=60∘

and 4x=4×20∘=80∘

∴ the angles are 40∘,60∘,80∘