Question

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

Answer 1

Answer:

13

Step-by-step 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

$13^{2} + 5^{2} = c^{2} \\169+25= c^{2} \\194= c^{2} \\\sqrt{194} = \sqrt{c^{2} } \\13.9283883... = c$

extra notes

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

so the $c^{2}$ is cancled by aka $\sqrt{c}$

Hope this helped :)