Question

URGENT ASAP!!!

A triangle has sides with lengths of 5 m, 4 m, and 3 m . Is it a right triangle?

Answer 1

Yes, it's a right triangle.

Explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right,
`a^(2) + b^(2) = c^(2)`.

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be
`c`.

4 and 3 are
`a` and
`b`. (It doesn't matter which is a and which is b)

Plug in the numbers:

`4^2 + 3^2 = 5^2`

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Answer 2

Yes.

Explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.