Question

Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.

Given = 6sqre root two cm

Answer 1

6 cm

Explanation:

After applying the Pythagorean theorem, this would be your answer.

Hope it helps, good luck.

Answer 2

In any right triangle,

(Hypotenuse)² = (one leg)² + (other leg)² .

In an isosceles right triangle, the legs have equal lengths, so

(Hypotenuse)² = (leg)² + (leg)² .

(Hypotenuse)² = 2 (leg)² .

Hypotenuse = √(2 leg²)

Hypotenuse = leg √2 .

In this particular isosceles right triangle,

Hypotenuse = 6 √2 cm.

leg √2 = 6 √2

leg = 6 cm