Question

Find the area of the right-angled triangle with hypotenuse 2 more than its height cm and base is 2 less than its height​

Answer 1

Step-by-step explanation:

let height be x

base is 2 less than height = x-2

hypotenuse is 2 more than height=x+2

in right angle triangle we know that hypotenuse^2= base^2+height^2

(x+2)^2= (x-2) ^2+x^2

x^2+2x+4= x^2+4-2x+x^2

x^2-4x=0

x=4

.so height=4

.base=2

area = 1/2 *2 *4=4