Question

Angles of a triangle are in the ratio 2:4:5 find type of triangle

Answer 1

Step-by-step explanation:

Angle sum property of a triangle is 180 degrees. 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=180/9=20 therefore, 2x= 2*20=40 3x=3*20=60 and 4x=4*20= 80 That's it.

Answer 2

The angles are in the ratio 2:4:5

Let the angles = 2x, 4x and 5x.

Their sum = 2x + 4x + 5x = 11x

The sum of angles in a triangle will always be 180

So 11x = 180

x = 180/11 = 16.36

So the angles are

2x = 2*16.36 = 32.72°

4x = 4*16.36 = 65.44°

5x= 5*16.36 = 81.80°