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.
7 meters
9 meters
10 meters
12 meters
By using the Pythagorean theorem, we can find the length of the unknown side. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, the lengths of the legs (a and b) are both 7 meters.
Therefore, the length of the hypotenuse (c) can be found by:
c^2 = a^2 + b^2
c^2 = 7^2 + 7^2
c^2 = 49 + 49
c^2 = 98
c = √98
c ≈ 9.899
Rounded to the nearest whole number, the length of the unknown side is 10 meters.