Respuesta :

false, In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side.

Answer:

False

Step-by-step explanation:

It is given that the side lengths of the triangle are:

10, 24, 27

We have to show that whether these side lengths form a right triangle or not.

For this, we will use the Pythagoras theorem, thus

[tex](27)^{2}=(10)^{2}+(24)^{2}[/tex]

⇒[tex]729=100+576[/tex]

⇒[tex]729=676[/tex]

which is not possible, thus the given side lengths does not form a right angled triangle.

Thus, the given statement is false.