Question

Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5

Answer 1

Answer: Choice A

$\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2$

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Explanation:

The pythagorean theorem is $a^2+b^2 = c^2$

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have $a^2+b^2 = 14^2+48^2 = 196+2304 = 2500$

We also have $c^2 = 50^2 = 2500$

Both sides result in 2500 which proves that $14^2+48^2 = 50^2$ is a true statement. Therefore, we do have a right triangle.