Question

Please help me

Determine if the following triangle is a right triangle were not using the Pythagorean theorem converse. Triangle with side lengths of: 25 cm, 24 cm and 7 cm.

A. False these measures do not form a right triangle.

B. True these measures do form a right triangle

Answer 1

Answer: option B is correct

By converse of Pythagoras theorem

Explanation:

Answer 2

So you remember that the Pythagorean theorem is the length of one leg squared plus the leg of the other leg squared equals the hypotenuse squared, right? and you know the the hypotenuse has to be the longest side in a right triangle.

All you have to do here is figure out if

`{7}^(2) + {24}^(2) = {25}^(2)`

`{7}^(2) = 49`

`{24}^(2) = 576`

`49 + 576 = 625`

`√(625) = 25`

So yes, a triangle with those side lengths would be a right triangle because the Pythagorean theorem is true.