Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse.
-a = 9 , c = 15
A)12
B)15
C)14
D)11

Question

Quizplus · Accepted Answer

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). Given a = 9 and c = 15, we can solve for b: $c^2 = a^2 + b^2$, so $15^2 = 9^2 + b^2$, which simplifies to $225 = 81 + b^2$, and further to $b^2 = 144$. Taking the square root of both sides gives $b = 12$.

Find the Length of the Unknown Side of the Right