Question

In a 30-60-90 triangle, the hypotenuse is 20 feet long. Find the length of the length of the long leg and the short leg.

Answer 1

20 is your c

Answer 2

the proprotions are 1-sqrt(3)-2 :)

Answer 3

You can also use the ratio of the sides: the sides of a 30, 60, 90 triangle is 1, 2, sq rt 3. The hypotenuse side is 2, so what makes to 20, multiply by 10. Multiply other sides by 10.

Answer 4

the answer choices are
LL = 10 feet, SL = 17.32 feet
LL = 40 feet, SL = 69.28 feet
LL = 17.32 feet, SL = 10 feet
LL = 69.28 feet, SL = 40 feet

Answer 5

3-4-5 is a right tri; but so is 5-12-13 ... neither of which is the 30-60-90

Answer 6

id say 10 is a short side ...

Answer 7

In a 30-60-90 triangle, the side lengths are proportional as x(short side), x√3(long side), and 2x(hypothenuse). since 20 is 2x we can solve for x with x being 10. You can then replace the variables with x being to in the respect of the short side being 10 and the long side being 10√3 or 17.3205081

Answer 8

Third answer is good. If you multiply them out, you can guess and check. a squared (10*10) +b squared (17.3 *17.3) = c squared (20 *20).