Answer
$c=25$
Work Step by Step
Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$
Step 1: Plug in the given lengths.
$7^{2}+24^{2}=c^{2}$
Step 2: Solve.
49+576=$c^{2}$
625=$c^{2}$
Step 3: Take the square root of both sides.
$\sqrt 625=\sqrt c^{2}$
25=c
Answer: c=25 m
