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 5 inches each and hypotenuse unknown.
7 inches
10 inches
25 inches
50 inches
To find the length of the unknown side, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have two legs with a length of 5 inches each. Let's denote the unknown side as x. According to the Pythagorean theorem, we have:
x^2 = 5^2 + 5^2
x^2 = 25 + 25
x^2 = 50
Taking the square root of both sides, we find:
x ≈ √50 = 7.071 inches
Rounded to the nearest whole number, the length of the unknown side is 7 inches.