Question

find the missing part use a improper fraction for your answer please help https://media.glynlyon.com/g_geo_2013/5/01.gif

Answer 1

familiar wid \(30-60-90\) special triangle ?

Answer 2

yea a little bit

Answer 3

good :)
then its going to be easy

Answer 4

look at the big outer triangle

Answer 5

its 30-60-90,
hypotenuse = 15

Answer 6

so the leg opposite to 30 degrees wud be 15/2

Answer 7

and the leg opposite to 60 wud be \(\large \frac{\sqrt{3}}{2} \times 15 \)

Answer 8

just figure out those two sides.

Answer 9

15sqrt3/2 right?

Answer 10

yes, wats that side ?

Answer 11

opposite to 60 so z right?

Answer 12

Perfect !

Answer 13

and x is 15/2 = 7.5

Answer 14

so we have now \(x\) and \(z\), what next ?

Answer 15

hmmm

Answer 16

can u find remaining missing parts ? :)

Answer 17

y a and b ?

Answer 18

yeah, try finding them

Answer 19

find y and a first

Answer 20

use the value of x=7.5 to find them

Answer 21

how >.<

Answer 22

30-60-90 triangle again

Answer 23

is time, use the small left side triangle

Answer 24

thats a 30-60-90 triangle, with hypotenuse = 7.5
you can find other two sides, y and a

Answer 25

>.<

Answer 26

im so confused >.<

Answer 27

First, convince urself that its a 30-60-90 triangle.
the, try finding a & y :)

Answer 28

any progress ?

Answer 29

im so lost lol

Answer 30

only look at that small left triangle

Answer 31

it has hypotenuse = 7.5
so, the side opposite to 30 degrees = a = 7.5/2

side opposite to 60 degrees = y = \(\large \frac{\sqrt{3}}{2} \times 7.5\)

Answer 32

ohhhh so its always a two?

Answer 33

wat ? :)

Answer 34

its always a 2 and a sqrt(3)/2?

Answer 35

yes, 30-60-90 triangle. always divide by 2, and sqrt(3)/2

Answer 36

ohh

Answer 37

15sqrt(3)/4

Answer 38

3.75

Answer 39

yeah, u can find by subracting a from 15 (look at the drawing)