Question

what is the length of the hypotenuse for a right triangle with legs of length 7 and 24? a 25 b 26 c 27 d 28

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ = hypotenuse, $a,b$ = legs.

Step2: Substitute leg lengths

$a=7$, $b=24$, so $c^2 = 7^2 + 24^2$

Step3: Calculate squares

$7^2=49$, $24^2=576$; $c^2=49+576=625$

Step4: Solve for hypotenuse

$c=\sqrt{625}=25$

Answer:

A. 25