Question

If the difference between the two sides of a
right-angled triangle is 2 cm and the area of
the triangle is 24 cm?; find the perimeter of
the triangle.
​

Answer 1

Answer:

24

Step-by-step explanation:

Let the sides be a,b,c where c is the hypotenuse.

b - a = 2  -------- 1

(1/2)*a*b = 24

a*b = 48  --------- 2

Solving 1 and 2, we get a = 6, b = 8.

c  = √(a² + b²) = √(36 + 64) = √100 = 10

Perimeter = a + b + c = 6 + 8 + 10 = 24