Question

the acute angles of a right triangle are in the ratio of 4:5 find the angles of a triangle

Answer 1

Solutions :


In the right angled triangle,
Its one angle is 90°

And the sum of all angles of a triangle is equal to 180°

So, other two angles = (180 - 90) = 90°



Now,

Let the two acute of the triangle be 4x and 5x


A/q
=> 4x + 5x = 90
=> 9x = 90
=> x = 90/9 = 10



Hence,
The first acute angle = 4x = 4 × 10 = 40°
The second acute angle = 5x = 5 × 10 = 50°

Answer 2

Let acute angle one get and another angle be x and y

4x+5x =90°

9x = 90°

x = 10°

Put the value of x in 4x&5x.

And third angle be 90°

4x = 10*4 =40°

5x = 10*5 = 50°