Question

Which set of numbers could represent the lengths of the sides of a right triangle? O 8.9. 10 O 15, 18, 21 o 7. 24 25 09. 11. 14

Answer 1

Answer:

7, 24, 25

Explanations:

For the numbers to represent the sidelengths of a right triangle, they must obey the Pythagora's theorem

That is, the square ofthe longest side shoud be equal to the sum of the squares of the other two sides

The only option in which the three numbers obey the Pythagora's theorem is:

7, 24, 25

`\begin{gathered} 25^2=7^2+24^2 \\ 625\text{ = 4}9\text{ + }576 \end{gathered}`

All other options do not obey the Pythagora's rule, hence, the numbers cannot represent the sides of a right triangle