Question

Question 1
4 pts
Which set of line segments could create a right triangle? (4 points)
O 15,30,35
O 15,36,39
O 15, 20, 29
O 5,15,30

Answer 1

Answer:

(B)15,36,39

Step-by-step explanation:

To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.

By Pythagoras Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

In  15,30,35

$35^2\neq 15^2+30^2\\1225\neq 1125$

In 15,36,39

$39^2=36^2+15^2\\1521=1521$

In 15, 20, 29

$29^2\neq 15^2+20^2\\841\neq 625$

In 5,15,30

$30^2\neq 15^2+5^2\\900\neq 250$

We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.