SOLUTION: Given the hypotenuse of a 30 - 60 - 90 degrees triangle, determine the lengths of the two legs. Write your answers as radicals in simplest form.
Answer this where:
c = hypoten
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Question 668543: Given the hypotenuse of a 30 - 60 - 90 degrees triangle, determine the lengths of the two legs. Write your answers as radicals in simplest form.
Answer this where:
c = hypotenuse
hypotenuse = 6 sqrt 3
a = ?
b = ?
Found 2 solutions by swincher4391, MathLover1:
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
If we have a 30,60,90 triangle where a,b,c are the lengths from smallest to largest then we have that
a = a
b = sqrt(3)*a
c = 2a
So c = 6 * sqrt(3), a is half of that giving us 3*sqrt(3), and b is 3*sqrt(3)*sqrt(3) = 3 * 3 = 9
a = 3*sqrt(3)
b = 9
c = 6*sqrt(3)
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
= long leg across from º
= short leg across from º
_______________________________________
then
_______________________________
if you plug in value of , then you have
now check using Pythagorean theorem:
...round to whole numbers
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