Question

In right angle triangle one of a cute angles is two third of the others find the angles of triangle.

Answer 1

Answer:

Given In a right angle triangle

so one of the angle of triangle is. A= 90 degrees

One of the acute angle is lets assume = X

and the other angle is 2/3rd of that acute angle

so other angle = 2x/3

Now angles in triangle

= 90 + X + 2x/3 = 180

{{ solve x + 2x/3 = 3x + 2x /3

5x /3 }}

90 + 5x/3 = 180

270 + 5x = 180 * 3

270 +5x = 540

5x = 540-270

5x = 270

x = 270/5

x = 54

hence x = 54 degrees

2nd angle = 2/3*54 =18*2= 36 degrees

3rd angle = 90 degrees