The area of an isosceles right-angled triangle is 18 cm2. Find the length of the hypotenuse of the triangle.

The area of any triangle is expressed as the product of half the base and the height.
In our case, we have a right-angled triangle with two EQUAL legs.
We get an equation where we take the side of one leg for “a”.
S = 1 / 2a * a
18 = 1 / 2a * a
36 = a ^ 2
a = 6
We found the side of the triangle, therefore, we also know the second.
We are looking for the square of the hypotenuse, it is equal to the sum of the squares of the legs (Pythagorean theorem)
a ^ 2 + a ^ 2 = c ^ 2
36 + 36 = 72
We cannot extract the root of 72, so we write down the answer:
c = √72