Question

the legs of a right triangle are in the ratio 3:4 and it's area is 600cm sq. find the lengths of its legs.

Answer 1

In case of any query ask me
Mark me brainliest please if it is clear to u

Answer 2

Let the legs of the right-angled triangle be 3x and 4x respectively.

Given that Area of right triangle = 600cm^2.

Then, 1/2 * 3x * 4x = 600

          12x^2/2 = 600

          6x^2 = 600

          x^2 = 100

            x = 10.

length of one leg = 3 * 10 = 30.

Length of another leg = 4 * 10 = 40.


verification:

1/2 * 3x * 4x = 600

1/2 * 3(10) * 4(10) = 600

1/2 * 30 * 40  =600

1/2 * 1200 = 600

600 = 600


Hope this helps!