Question

2 multiple answer 1 point
select the lengths of sides that could form a right triangle.
8
15
19
17

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Test 8,15,17

Calculate $8^2 + 15^2 = 64 + 225 = 289$, and $17^2 = 289$.

Step3: Verify equality

$8^2 + 15^2 = 17^2$, so these form a right triangle.

Step4: Test 19 with others

$8^2 + 19^2 = 64 + 361 = 425
eq 15^2=225$; $15^2 + 19^2 = 225 + 361 = 586
eq 8^2=64$, so 19 does not fit.

Answer:

8, 15, 17