Question

the hypotenuse of a right triangle is 25 cm. the difference between the lengths of the other two sides of the triangle is 5 cm. find the lengths of these sides. ​

Answer 1

Step-by-step explanation:

Let the length of the shorter side b x cm. Then, the length of the longer side = (x + 5) cm.

Since the triangle is right-angled, the sum of the squares of the sides must be equal to the square of the hypotenuse (Pythagoras Theorem).

x^2 + (x + 5)^2 = 2352

or 2x^2 + 10x - 600 = 0

or x^2 + 5x - 300 = 0

or (x + 20) (x - 15) = 0

This gives x = 15 or x = - 20

We reject x = - 20 and take x = 15.

Thus, length of shorter side = 15 cm. Length of longer side = (15 + 5) cm, i.e., 20 cm.

Answer 2

Answer:

hope it helps uh.........

have a great day