Question

Which side lengths represent the sides of a right triangle?

A)
2, 3, 5


B)
7, 24, 25


C)
7, 23, 25


D)
12, 16, 21

Answer 1

So according to Pythagoras theorem the two shortest sided squared should be the longest side squared.
So we work each one and see if it is equel.

Answer 2

Answer:

7, 24 and 25 are the side lengths represent the sides of a right triangle

Step-by-step explanation:

Given the side lengths of triangle

we have to choose the side lengths represent the sides of a right triangle.

To represent the sides of right triangle it must satisfies Pythagoras theorem

$Hypotenuse^2=Base^2+Perpendicular^2$

Option A: 2, 3, 5

$5^2=2^2+3^2$

$25=4+9=13$

Not satisfied

Option B: 7, 24, 25

$25^2=7^2+24^2$

$625=625$

Satisfied

Option C: 7, 23, 25

$25^2=7^2+23^2$

$625=578$

Not satisfied

Option D: 12, 16, 21

$21^2=12^2+16^2$

$441=400$

Not satisfied

Hence, option 2 is correct.

7, 24 and 25 are the side lengths represent the sides of a right triangle