Question

Find the hypotenuse of an isosceles right triangle when the legs each measure 6V2 inches.
_____a0 inches

Answer 1

Question:

Find the hypotenuse of an isosceles right triangle when the legs each measure 6 inches.

Answer:

$Hypotenuse = 12$

Step-by-step explanation:

Given

Length of the sides = 6√2 inches

Required

Determine the Hypotenuse

From the information provided in the question that the triangle is an isosceles right angled triangle, this means that the opposite and adjacent of the triangle are of the same length;

Hence;

Opposite = Adjacent = 6√2

The Hypotenuse of the triangle is hereby calculated as follows;

$Hypotenuse^2 = Opposite^2 +Adjacent^2$

Substitute 6√2 for Opposite and Adjacent

$Hypotenuse^2 = (6\sqrt{2})^2 + (6\sqrt{2})^2$

$Hypotenuse^2 = 2(6\sqrt{2})^2$

$Hypotenuse^2 = 2(36 * 2)$

$Hypotenuse^2 = 2(72)$

$Hypotenuse^2 = 144$

Take Square root of both sides

$}\sqrt{Hypotenuse^2} = \sqrt{144}$

$Hypotenuse = \sqrt{144}$

$Hypotenuse = 12$

Hence, the Hypotenuse of the triangle is 12 inches

Answer 2

Answer:

12 inches

Step-by-step explanation:

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

Hope it helps, good luck.