Find the length of the third side of the right triangle. Assume that $c$ represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.
-$b=12, c=15$
A) $a=81$
B) $a=3$
C) $a=9$
D) $\mathrm{a}=10$

Question

Quizplus · Accepted Answer

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, we have $c=15$ and $b=12$, so we can solve for $a$ as follows:$$a^2+b^2=c^2$$$$a^2+12^2=15^2$$$$a^2+144=225$$$$a^2=81$$$$a=9$$

Find the Length of the Third Side of the Right ccc

Find the Length of the Third Side of the Right $c$