Question

12. The sides of a right triangle containing the right angle are (5x) and (3x - 1)
if the area of the triangle be 60 cmsquare, calculate the length of the sides of the triangle
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Answer 1

Step-by-step explanation:

Given,

Area of triangle= 60

1/2* 5x*(3x-1)=60

5x(3x-1)=120

15x^2-5x=120

5(3x^2-x)=120

3x^2-x=24

3x^2-x-24=0

3x^2-9x+8x-24=0

3x(x-3)+8(x-3)=0

(x-3) (3x+8)=0

x=3 or x=(-8/3)

here we take only x=3 because sides cannot be negative

sides are 5x=5(3)=15

3x-1=3(3)-1=9-1=8