SOLUTION: Find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give answer in simplified radical form???

Question 146298: Find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give answer in simplified radical form???
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
The is an SAT question.
For 30-60-90 triangles if the short leg is 1, then the hypotenuse is 2 and the long leg is sqrt(3). Memorize this.
That is all you have to know.
Now you can set up a proportion.
Let x be the hypotenuse.
x/6=2/sqrt(3)
x=12/sqrt(3)
We are not done yet because we can't leave a sqrt in the denominator so we must multiply top and bottom by sqrt(3).
x=12sqrt(3)/3
=4sqrt(3)
.
Ed
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