Question

the length of two sides of a right triangle containing the right angle differ by 2 cm. If the are of triangle is 24 cm square , find the perimetre of the triangle.

Answer 1

Answer:

e

24 cm

Step-by-step explanation:

area = 1/2 bh

h = b+ 2

1/2 b × (b+2) = 24

b^2 + 2b - 48 = 0

b= -8, b = 6

b can not be negative

b = 6 cm, h = 8 cm

apply pythagoras theorem

Hypotenuse = (6×6 + 8×8)^1/2 = 10 cm

perimeter = 6 + 8 + 10 = 24 cm

e