Question

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

inches.
Is this possible? Why or why not?
Yes, because 14? + 48is equal to 50%.
Yes, because 14 + 48 is not equal to 50.
No, because 14 + 48 is greater than 50.
No, because 14° + 48° is plut equal to 50%.

Answer 1

Answer: Choice A

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

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Step-by-step 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.