In the right triangle shown, DF=EF=3. How long is DE

Question

asked Sep 24, 2021 71.7k views

1 Answer

Jeremy Cade · Answer 1 · 2021-09-28T19:44:06+0000

Answer:

$DE=3√(2)\ units$

Explanation:

see the attached figure to better understand the problem

In this problem we have an isosceles right triangle (because has two equal sides)

so

Applying the Pythagorean theorem

DE^2=DF^2+EF^2

substitute the given values

DE^2=3^2+3^2

$DE^2=18\\DE=3√(2)\ units$