Question

what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively

Answer 1

The length of the hypotenuse of the right triangle is approximately 9.22 feet.

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the legs of the triangle are 6 feet and 7 feet long, respectively.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:

`c = sqrt(a^2 + b^2)`

`= \sqrt(6^2 + 7^2)`

`= \sqrt{(36 + 49)`

`= \sqrt{(85)`

= 9.22 feet.

Answer 2

9.22 feet

Step-by-step explanation:

To find the sides of a right triangle, we use the Pythagorean Theorem:

a² + b² = c²

a and b are each one side. c is the hypotenuse.

Let's plug in what we know.

a² + b² = c²

(6)² + (7)² = c²

Evaluate the exponents.

36 + 49 = c²

Add.

85 = c²

Take the square root of both sides.

√85 = √c²

√85 = c

9.22 = c

The hypotenuse is about 9.22 feet long.

Hope this helps!