Question

in a 30-60-90 triangle the shortest side ha a length of one what are the other two measurments?

Answer 1

its an impossible problem,

Answer 2

how?

Answer 3

60,90

Answer 4

the other two sides have a variable

Answer 5

and its length not degrees

Answer 6

the other two sides are sqrt(3) and 2 for the hypotenuse. shortest side is opposite the 30 degree angle.

Answer 7

thanks.. can you help me again?

Answer 8

sure

Answer 9

its the same kind of problem but the side is 8

Answer 10

ok all 30-60-90 triangles are similar. so if the ratio of the sides is always 1:sqrt(3):2
and if the side corresponding to 1 is 8 we get 8, 8sqrt(3), 16

Answer 11

do you know about similar triangles?

Answer 12

not at all.. but the answer i got was 4, sqrt(3) and it was right

Answer 13

not if the smallest side of the triangle was 8. which side was 8?

Answer 14

if the hypotenuse was 8 then you would get 4, 4sqrt(3), 8

Answer 15

if the shortest side is = h, then by using Law of Sines:
sin30/h = sin60/x where is x= longer side (another one; across from 60 degree angle);
now:
\[x=h*sqrt{\3\}\]
now use Pythagorean Theorem to find c...
let me know if there is a problem :)

Answer 16

oh man that was the problem m sorry my mistake

Answer 17

c=2h

Answer 18

was the shortest side 1 for the first problem you asked or was that hypotenuse also?

Answer 19

no the question i last asked had the hypotenuse of eight.. the first one was correct.

Answer 20

allright sounds good.

Answer 21

thanks