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

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

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