Question

An isosceles right triangle has 6 cm legs . Find the length of the hypotenuse

Answer 1

hypotenuse = √72 (or 8.49)

Explanation:

An isosceles right triangle has 6 cm legs . Find the length of the hypotenuse

• isosceles right triangle = 2 equal side and 2 equal angles

• we use the Pythagorean theorem (In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides)

hypotenuse² = 6² + 6²

hypotenuse² = 36 + 36

hypotenuse² = 72

hypotenuse = √72 (or 8.49)

Answer 2

Explanation:

we have a right-angled triangle.

so, we can use Pythagoras

c² = a² + b²

c is the Hypotenuse, a and b are the legs.

in our case

c² = 6² + 6² = 36 + 36 = 72

c = Hypotenuse = sqrt(72) = 8.485281374... cm