Question

The length of two sides of right angle containing the right right angle differ by 2 if the area of triangle is 24 cm square .
Find perimeter of triangle

Answer 1

Answer:

24cm

Step-by-step explanation:

let the sides be x and x-2

area=1/2*base*height

24=1/2*x*(x-2)

24*2=x^2-2x

48=x^2-2x

x^2-2x-48=0

x^2-8x+6x-48=0

x(x-8)+6(x-8)=0

(x+6)(x-8)=0

x=8 or -6

NA

x=8cm

x-2=6cm

Pythagoras theorem

8^2+6^2=hypotenuse^2

on solving

hypotenuse=10cm

perimeter= 8+6+10

=24cm