Question

What is the length of the hypotenuse of a right triangle if each of the two legs is 6 units

Answer 1

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, each leg of the right triangle is 6 units long. Let's call the length of the hypotenuse "c."

Using the Pythagorean theorem: c^2 = a^2 + b^2

Where a and b represent the lengths of the legs of the right triangle.

Substituting the values: c^2 = 6^2 + 6^2

Simplifying: c^2 = 36 + 36 = 72

To find c, we take the square root of both sides: c = √72

Simplifying further: c ≈ 8.485

Therefore, the length of the hypotenuse of the right triangle is approximately 8.485 units.