The hypotenuse of a right triangle has length 13, and a leg has length 5. Find the area of that triangle.
A)30
B)32.5
C)60
D)65

Question

Quizplus · Accepted Answer

The area of a right triangle is given by 1/2 * base * height. Using the Pythagorean theorem, we can find the length of the other leg: $13^2 = 5^2 + b^2$, which simplifies to $169 = 25 + b^2$, so $b^2 = 144$, and $b = 12$. Thus, the area is 1/2 * 5 * 12 = 30.

The Hypotenuse of a Right Triangle Has Length 13, and a Leg