a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-$a = 10 \text { in., } b = 24 \text { in. }$
A) $c = 18$ in.
B) $c = 25 \mathrm { in } .$
C) $\mathrm { c } = 26 \mathrm { in }$.
D) $c = 22 \mathrm { in }$.

Question

Quizplus · Accepted Answer

To find the length of the hypotenuse $c$ in a right triangle, we use the Pythagorean theorem: $a^2 + b^2 = c^2$. Substituting $a = 10$ and $b = 24$, we get $10^2 + 24^2 = 100 + 576 = 676$. Taking the square root of both sides, $c = \sqrt{676} = 26$ in.

A and B Represent the Two Legs of a Right a=10 in., b=24 in. a = 10 \text { in., } b = 24 \text { in. }a=10 in., b=24 in.

A and B Represent the Two Legs of a Right $a = 10 \text { in., } b = 24 \text { in. }$