A pennant in the shape of a right triangle has a base of 48 inches and a height of 14 inches. What is the hypotenuse of the pennant?
A. 34 inches
B. 46 inches
C. 50 inches
D. 62 inches
The hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base (b) is 48 inches and the height (a) is 14 inches. So:
c² = a² + b²
c² = 14² + 48²
c² = 196 + 2304
c² = 2500
c = √2500
c = 50 inches
Therefore, the hypotenuse of the pennant is 50 inches, which is answer choice C.