Question

Is 5 m, 20 m, 25 m a right triangle

Answer 1

No

Explanation:

We can check this using the Pythagorean Theorem,
`a^(2) + b^(2) = c^(2)`.

First, we can plug our two smaller sides in for a and b, and the largest side in for c.,

`5^(2) + 20^(2) = 25^(2)`

Next, we can check the left side of the equation, which we find to be:

`5^(2) = 25\\20^(2) = 400\\`

Then, we can add these products and achieve the result of 425

Finally, we can solve the right side of the equation, which equals 625

As 425 ≠ 625, this equation fails the Pythagorean Theorem, and is therefor false.

Answer 2

NO

Explanation: