How do you find the length of the missing side of a right triangle if the hypotenuse is 4sqrt3 and the short side is 2?

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Answer 1 · 2015-06-11T00:29:45

I found the length as $6.6$

I would use Pythagora's Theorem as:
$c^2=a^2+b^2$
where $c=4sqrt(3)$ is the hipotenuse.
So:
$16*3=4+b^2$
$b=sqrt(48-4)=6.6$
enter image source here

Answer 2 · 2015-06-11T01:30:13

The length of the missing side is exactly $2sqrt11$ .

Use the Pythagorean theorem $c^2=a^2+b^2$ , where $c$ is the hypotenuse of a right triangle, and $a$ and $b$ are sides or legs of the right triangle.

![http://memorize.com/pythagorean-theorem]( useruploads.socratic.org )

For this question:

$c=4sqrt3$
$a=2$
$b=?$

Solve the Pythagorean theorem for $a$ .

$b^2=c^2-a^2$

$b^2=(4sqrt3)^2-2^2$ =

$b^2=16(3)-4$ =

$b^2=48-4=44$

$b=sqrt44$ =

$b=sqrt(4xx11)$ =

$b=2sqrt11$