Question

Please help !! thank youuu

Answer 1

No, she should have added (
`6^2`) and (
`8^2`) and compared that too (
`10^2`).

Explanation:

An easy way to determine if a triangle is right is by using the Pythagorean theorem. The Pythagorean theorem states the following,

`a^2 + b^2 = c^2`

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle. The hypotenuse is always the largest side in a right triangle.

One can substitute in the given sides and solve to prove that the given triangle with the following side lengths (6, 8, 10) forms a right triangle.

`(6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100`

Thus the given triangle is a right triangle because one can apply the Pythagorean theorem to its side lengths.

The mistake that was made in the given problem was that the person in the given situation set up the equation using the wrong sides, and thus got a wrong result. Therefore, one should select the following option as their answer,

No, she should have added (
`6^2`) and (
`8^2`) and compared that too (
`10^2`).