Question

A triangle with sides of length 10,24,27 is a right angle

Answer 1

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 2

False

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

`(27)^(2)=(10)^(2)+(24)^(2)`

⇒
`729=100+576`

⇒
`729=676`

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

Thus, the given statement is false.