Question

The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??

Answer 1

Answer:

$5\sqrt{5}$

Step-by-step explanation:

1. $5^2 +10 ^2 = c^2$

2. $c^2 = 125$

3. $c = 5\sqrt{5}$

Answer 2

Answer:

approximately 11.18 inches or $5\sqrt{5$ inches

Step-by-step explanation:

We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.

5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c

sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)

The hypotenuse is approximately 11.18 inches or $5\sqrt{5$ inches.