Question

Triangle DEF is a right triangle. If FE=5 and DF=13, find DE.

Answer 1

13

Explanation:

I am amusing you are looking for the hypotenuse since this is middle school.

If you have the legs and are looking for the hypotenuse you use the Pythagorean Theorem
`a^(2) + b^(2) = c^(2)`

The legs are a and b, and the hypotenuse is c

The work would look like this

`13^(2) + 5^(2) = c^(2) \\169+25= c^(2) \\194= c^(2) \\√(194) = \sqrt{c^(2) } \\13.9283883... = c`

extra notes

• I rounded to 13
• If you didn;t know you cancles exponents with roots

so the
`c^(2)` is cancled by aka
`√(c)`

Hope this helped :)