Question

In a 30°- 60°- 90° right triangle, the longer leg is cm. How long are the other two sides of the triangle?

Answer 1

The longer leg is 6 sqrt 3 (:

Answer 2

ratios of a 30-60-90 triangle are \(1:\sqrt{3}:2\) for
short side : long side : hypotenuse

Answer 3

:)

Answer 4

so, 1:6 sqrt 3: 2?

Answer 5

so if long slide is \(6\) then short sides is \(\frac{6}{\sqrt{3}}\)

Answer 6

Gotcha. So how do I find the Hypotenuse?

Answer 7

better known as \(2\sqrt{3}\)

Answer 8

double the short side

Answer 9

lengths are therefore \(2\sqrt{3}, 6,4\sqrt{3}\)

Answer 10

btw i hope it is clear that
\[\frac{6}{\sqrt{3}}=\frac{6}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}=\frac{6\sqrt{3}}{3}=2\sqrt{3}\]

Answer 11

Oh okay.. But my answers to choose from are different. The only one that comes close is, shorter leg: 6 sqrt 3, and hypotenuse: 6

Answer 12

oooh because i read your problem incorrectly
it says longer leg is \(6\sqrt{3}\)
then it is much easier

Answer 13

Hehe. (: So, is my answer right?

Answer 14

to get the short side, divide by \(\sqrt{3}\) and get 6

Answer 15

And then double that and get 12? Right? (:

Answer 16

then the hypotenuse is twice that, namely 12
yes you got it

Answer 17

Awesome! Thanks soo much :D You teach better then my teacher @satellite73

Answer 18

thank you for the compliment (blush) sorry i did not read your question right the first time

Answer 19

It's fine, really. Could you help me with another?