Question

1. which measurements could represent the side lengths of a right triangle? select two correct answers. 8 mm, 17 mm, 21 mm 3 mm, 4 mm, 6 mm 15 mm, 20 mm, 25 mm 16 mm, 30 mm, 34 mm 12 mm, 15 mm, 21 mm

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Test option 1

$8^2 + 17^2 = 64 + 289 = 353$; $21^2 = 441$. $353
eq 441$

Step3: Test option 2

$3^2 + 4^2 = 9 + 16 = 25$; $6^2 = 36$. $25
eq 36$

Step4: Test option 3

$15^2 + 20^2 = 225 + 400 = 625$; $25^2 = 625$. $625 = 625$

Step5: Test option 4

$16^2 + 30^2 = 256 + 900 = 1156$; $34^2 = 1156$. $1156 = 1156$

Step6: Test option 5

$12^2 + 15^2 = 144 + 225 = 369$; $21^2 = 441$. $369
eq 441$

Answer:

C. 15 mm, 20 mm, 25 mm
D. 16 mm, 30 mm, 34 mm