Question

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with legs labeled 7 meters each. The hypotenuse is unknown.

Answer 1

Answer: 10

Explanation:

Pythagorean Theorem: a²+b²=c² or leg one² + leg two² = hypotenuse²

7²+7²=c² ---> 49 + 49 = c² ---> 98 = c²

√98 ≈ 10

:) hope this helped! <3

Answer 2

Consider right triangle with two congruent legs of 7 meters each and unknown hypotenuse.

By the Pythagorean theorem,

`\text{Hypotenuse}^2=\text{First leg}^2+\text{Second leg}^2.`

Thus,

`\text{Hypotenuse}^2=7^2+7^2=49+49=98,\\ \\\text{Hypotenuse}=√(98)\approx 10\ m.`

Answer: 10 m