Question

In the 30-60-90 triangle above, y=6. Find the other two lengths.

Answer 1

These are the proportions of any \(\normalsize\color{darkgreen}{ \rm 30^• -60^•-90^• }\) triangle

Answer 2

It depends on which side is y, is it the hypotenuse, the bigger leg or the smaller leg ?

Answer 3

this is what it tells me

Answer 4

if the is the hypotenuse, then based on the proportions that I drew in the picture, can you find \(\normalsize\color{darkgreen}{ \rm x }\) and \(\normalsize\color{darkgreen}{ \rm z }\) .

Answer 5

how do you find that?

Answer 6

If the hypotenuse if \(\large\color{midnightblue}{ \rm 2V }\) then the 2 legs are \(\large\color{midnightblue}{ \rm V\sqrt{3} }\) (the bigger leg) AND \(\large\color{midnightblue}{ \rm V }\) (the smaller leg) .

Answer 7

So if the hypotenuse is \(\large\color{midnightblue}{ \rm y }\), then the other legs are ?

Answer 8

x and z? I'm sorry, I really don't get this...

Answer 9

he means that you can find x and z in the special right triangle which z=a and x=a square root of 3

Answer 10

and to find y just multiply it by 2 because y is on the hypothenuse

Answer 11

oh! okay, I get it now. thanks!! :)

Answer 12

welcome :)