Question

question 7
which set of side lengths can be used to form a right triangle?
4, 5, 6
10, 20, 30
2, 3, 4
30, 40, 50

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Test set 4,5,6

$4^2 + 5^2 = 16 + 25 = 41$, $6^2 = 36$. $41
eq 36$

Step3: Test set 10,20,30

$10^2 + 20^2 = 100 + 400 = 500$, $30^2 = 900$. $500
eq 900$

Step4: Test set 2,3,4

$2^2 + 3^2 = 4 + 9 = 13$, $4^2 = 16$. $13
eq 16$

Step5: Test set 30,40,50

$30^2 + 40^2 = 900 + 1600 = 2500$, $50^2 = 2500$. $2500 = 2500$

Answer:

30, 40, 50