In a 45-45-90 right triangle if the length of the legs is 2 units the length of the hypotenuse will be

Question

asked Sep 7, 2021 45.9k views

1 Answer

Zggame · Answer 1 · 2021-09-13T09:24:10+0000

Answer:

$2√(2)\ units$

Explanation:

we know that

In a 45-45-90 right triangle, the length of the two legs are equal

so

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

a and b are the legs

we have

$a=2\ units\\b=2\ units$

substitute

c^2=2^2+2^2

c^2=4+4

c^2=8

$c=√(8)\ units$

simplify

$c=2√(2)\ units$