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

`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`