Question

The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg?

Answer 1

sin theta - p/h

Answer 2

The shorter leg is half the hypotenuse.
The longer leg is just \(\sqrt3\) multiplied to the shorter leg.

Answer 3

So if like the shorter leg is 8, then hypotenuse = 16 and longer leg = \(8\sqrt3\)

Answer 4

Just gotta put \(\sqrt3\) after the shorter leg :3

Answer 5

More examples:
SL = Shorter leg
LL = Longer leg

SL = 3, LL = \(3\sqrt3\)
SL = 4, LL = \(4\sqrt4\)

You get the point.

Answer 6

so it'd be 11sqrt(3) for shorter leg

Answer 7

11sqrt(3) for the longer leg*

Answer 8

This is applicable to ALL \(30-60-90\) triangles.

Answer 9

Oh so the longer leg would be the 11sqrt(3)

Answer 10

Yay

Answer 11

but how do I find shorter leg again?

Answer 12

half the hypotenuse

Answer 13

@Ledah Sir, are you there?

Answer 14

half the hypotenuse would be 11.

Answer 15

Yep. You got it!

Answer 16

If you got the shorter leg, then you get the longer leg by putting that \(\sqrt3\) in front, and get the hypotenuse by multiplying 2 to the shorter leg.

Answer 17

If you got the longer leg, then remove \(\sqrt3\) from that, and you got the shorter leg.
Multiply two to that for getting the hypotenuse.

Answer 18

okay wait wait wait. remove the sqrt3 from the longer leg and do what?

Answer 19

Hmm.
Examples will do good.

If the longer leg is \(9\sqrt3\), then the shorter leg is \(9\cancel{\sqrt3} = 9\)

Answer 20

The hypotenuse will then be \(2 \times SL = 2 \times 9 = 18\)

Answer 21

meaning it would be 2*11=
I get that first part but where are the second set of numbers coming from. o3o

Answer 22

WUT

Answer 23

You haz all the sides

Answer 24

:O

Answer 25

Hypotenuse = 22
SL = 22/2 = 11
LL = 11sqrt3

Answer 26

Didn't you note that down?

Answer 27

oh yeah I did. :x I just like lost it xD

Answer 28

lolol

Answer 29

Thanks xD