Question

In a triangle, length of the hypotenuse is 6cm more than shortest side. The length of the other side is 3cm less than the hypotenuse, then find the side of right angled triangle

Answer 1

Answer:

shortest Side x

Hypoten use=x+6

other side = x +6-3=x+3

(x +6)^2 = x^2+(x+3)^2

x^2+12x +36= x^2+ x^2+6x+9

x^2-6x-27=0

x^2-9x+3x -27=0

x(x-9)+3(x- 9)=0

(x +3),(x-9)

x-9=0, x = 9

shortest Side9cm. ... Ans

Hypoten use=x+6=15cm. Ans

other side x +3 = 12cm. Ans