Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if a triangle has sides measuring 50 in., 65 in., and 45 in. in length,…

Question

if a triangle has sides measuring 50 in., 65 in., and 45 in. in length, is it a right triangle?
*hint: use the converse of the pythagorean theorem to check.
dont forget to use your desmos calculator and staar reference sheet to help!
(1 point)
no, because 4,225 does not equal 2,025.
yes, because 4,225 equals 4,225.
no, because 4,525 does not equal 4,225.
yes, because 4,525 equals 4,525.

Explanation:

Step1: Identify hypotenuse candidate

The longest side is 65 in., so it is the potential hypotenuse.

Step2: Square all side lengths

$50^2 = 2500$, $45^2 = 2025$, $65^2 = 4225$

Step3: Sum squares of shorter sides

$\text{Sum} = 2500 + 2025 = 4525$

Step4: Compare to hypotenuse square

$4525
eq 4225$

Answer:

No, because 4,525 does not equal 4,225.