SOLUTION: what is the length of the hypotenuse of a 30-60 right triangle with a longer leg length of 16m

Algebra ->  Pythagorean-theorem -> SOLUTION: what is the length of the hypotenuse of a 30-60 right triangle with a longer leg length of 16m      Log On


   

Question 1084025: what is the length of the hypotenuse of a 30-60 right triangle with a longer leg length of 16m
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

In any 30-60-90 triangle, you see the following:
The shortest leg is across from the 30-degree angle.
The length of the hypotenuse is always two+times the length of the shortest leg.
so, in your case the length of the hypotenuse is highlight%282%2A16m+=32m%29
You can find the long leg by multiplying the short leg by the sqrt%283%29.
the long leg is16m+%2Asqrt%283%29
check:
32%5E2=16%5E2%2B%2816sqrt%283%29%29%5E2
1024=256%2B256%2A3
1024=256%2B768
1024=1024

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
what is the length of the hypotenuse of a 30-60 right triangle with a longer leg length of 16m
With the longer leg of a 30-60-90 right triangle known, the CORRECT answer

for the length of the hypotenuse is simply: