Question

Steve bought a mat in the shape of a right triangle with sides measuring 6 ft, 8 ft, and:

A) 10 ft
B) 9 ft
C) 12 ft
D) 14 ft

Answer 1

The missing side of the right triangle measures 10 ft.

Step-by-step explanation:

The sides of a right triangle satisfy the Pythagorean theorem, which 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, the given sides are 6 ft and 8 ft. Let's calculate the length of the third side:

a^2 + b^2 = c^2

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

c = √100

c = 10 ft

Therefore, the missing side of the right triangle measures 10 ft.