Given:
Area of triangle = 24 cm2
Let the sides be a and b, where a is the height and b is the base of triangle
a - b = 2 cm
a = 2 + b .........(1)
Side of a triangle cannot e negative.
Therefore, b = 6 cm.
Substituting the value of b=6 cm in equation (1), we get:
a = 2 + 6 = 8 cm
Now, a = 8 cm, b = 6 cm
In the given right triangle we have to find third side. Using the relation
So, the third side is 10 cm
So, perimeter of the triangle = a + b + c
= 8 + 6 + 10
= 24 cm