Question

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

Answer 1

Answer:

$2\sqrt{2}\ units$

Step-by-step 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

$c^2=2^2+2^2$

$c^2=4+4$

$c^2=8$

$c=\sqrt{8}\ units$

simplify

$c=2\sqrt{2}\ units$