Question

Find x in these 30 - 60 - 90 triangles.
https://media.glynlyon.com/g_geo_2012/11/groupi39.gif
x = ?
It's in the form of sqrt.

Answer 1

is it trigono ?

Answer 2

yeah, kinda. It's geometry, but they're using the sin,cos, and tan.

Answer 3

@tanjung

Answer 4

it would be a special triangle

Answer 5

you would write
30 : 60 :90

Answer 6

then find what is across the 30, 60 , 90

Answer 7

get me?

Answer 8

http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg

30-60-90 rule
notice the ratios

Answer 9

30:60:90
x: 7:y
1:square root 3: 2

Answer 10

based on the ratios on the 30-60-90 rule
\(\huge 7 = x\sqrt{3}\)
then just solve for "x" :)

Answer 11

No, I don't get it..

Answer 12

This is how they want it:

Answer 13

hmm, well
$$
7 = x\sqrt{3} \implies x = \frac{7}{\sqrt{3}}\\
\text{now in simplified form}\\
\implies \cfrac{7}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \implies \cfrac{7\sqrt{3}}{(\sqrt{3})^2}\\
\cfrac{7\sqrt{3}}{3}

$$

Answer 14

Thanks @jdoe0001