Question

The lengths of the two sides of a right triangle containing the right angle differ by 3 cm. If the area of the 2
triangle is 54 cm , find the perimeter of the triangle.

Answer 1

Answer:

=24

Step-by-step explanation:

let triangle be ABC right angle at B then let the of AB=x cm

=length of BC=(x-2) cm

now area of triangle ABC =1/2×AB×BC

=24=1/2×××(×-2)

48= ×2-2×

x2-2x-48=0

×2-8×+6 (×-8)=0

×-8=0 or x+6=0

×=8 or ×= -6

×=8 cm =AB

x=8cm =AB

x-2= 8-2=6cm= BC

NOW third side , AC = AB2+BC2=64+36=10

hence perimeter= AB+BC+AC= 8+6+10 = 24cm