Question

7. Lina is trying to determine if a triangle with side lengths √3, √4, and √5 is a right triangle. Lina says that since a triangle with sides 3, 4, and 5 is a right triangle, this one must be as well. Do you agree with Lina? Explain why or why not.

help me please ​

Answer 1

A 3-4-5 triangle is a right triangle, because 3^2 + 4^2 = 5^2. That triangle satisfies the Pythagorean Theorem.

If we check if a triangle with sides sqrt(3), sqrt(4), sqrt(5) is a right triangle, we'd need this to be true:

`\left(√(3)\right)^2+\left(√(4)\right)^2=\left(√(5)\right)^2`

But that is equivalent to

3 + 4 = 5

which is not true.

So, no this is not a right triangle.