Question

The legs of a right-angled triangle have the length in the ratio- 3:4. The area of the triangle = 1014 square cm. What is the length of the hypotenuse?

Answer 1

Answer:

65 cm

Step-by-step explanation:

The legs of a right-angled triangle have the length in the ratio- 3:4.

let the lengths : 3k,4k

area = 1/2 3k4k= 1014

k×k = 1014×2/12= = 169=13×13

k = 13

(3k, 4k, 5k) is a pythagorean triplet

so , hypotenuse = 5k= 5×13=65cm

the length of the hypotenuse= 65 cm