SOLUTION: find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give the answer in simplified radical form.I know that the hypotenuse is 2x t

Question 193048: find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give the answer in simplified radical form.I know that the hypotenuse is 2x the length of the shorter leg.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
.
Ref:
http://www2.krellinst.org/UCES/archive/resources/trig/node20.html
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long leg: 6 meters
Let x = short leg
.
Because it is a 30-60-90 triangle we know that:

Solving for x:
(short leg)
.
So, for the hypotenuse:

=
Wait, we still have to rationalize the answer:
=
=

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