Question

which side lengths do not form a right triangle? a. 5, 12, 13 b. 10, 24, 28 c. 15, 36, 39 d. 50, 120, 130 please select the best answer from the choices provided a b c d

Explanation:

Step1: Check Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the longest side.

Step2: Test Option A

$5^2 + 12^2 = 25 + 144 = 169$, $13^2 = 169$. $169=169$, so it is a right triangle.

Step3: Test Option B

$10^2 + 24^2 = 100 + 576 = 676$, $28^2 = 784$. $676
eq 784$, so it is not a right triangle.

Step4: Test Option C

$15^2 + 36^2 = 225 + 1296 = 1521$, $39^2 = 1521$. $1521=1521$, so it is a right triangle.

Step5: Test Option D

$50^2 + 120^2 = 2500 + 14400 = 16900$, $130^2 = 16900$. $16900=16900$, so it is a right triangle.

Answer:

B. 10, 24, 28