Question

The sides of a right angled triangle containing the right angles are 3(x+1)and(2x-1)cm. if the area of the triangle be 30cm^2 find the side of the triangle.

Answer 1

let h=3x +3,b=2x-1
area=1/2×b×h
30=1/2×3x+3×2x-1
30=1/2×6x^2-3x+6x-3
60=6x^2+3x-3
20=2x^2+x-1
20=(x+1)(2x-1)
x=-1,x=1/2
length is always positive
x=1/2
h=3×1/2+3=3/2+3=9/2
b=2×1/2-1=0

Answer 2

Answer:

sides of the triangle are

5cm, 12cm, 13cm