Question

Geometry!!!


@danJS

Answer 1

k, what are the ratio again for

30 - 60 - 90

Answer 2

30 - 60 - 90
1 - root(3) - 2

http://www.regentsprep.org/regents/math/algtrig/att2/ltri30.htm

Answer 3

i tried to find the measure of the larger length of the larger triangle and got \(\frac{9\sqrt{3}}{2}\)

Answer 4

i would start with the variable triangle first and complete that one

Answer 5

1 - root(3) - 2
across from 30 is the 1, acroos from 60 is root3 times , and the side across from 90 is 2 times

Answer 6

now you have an x in the triangle that gave you a number to use, and you can compare sides and relate that 2x and 9 by the correct ratio

Answer 7

the 2x side is across from the 60 angle, and the 9 is across from the 90 angle

30 - 60 - 90
1 - root(3) - 2

Answer 8

i don't understand this question at all!!

Answer 9

ok i just first applied the side ratios for the bottom triangle, x - x*root(3) - 2x
see that

Answer 10

http://www.regentsprep.org/regents/math/algtrig/att2/ltri30.htm

Answer 11

ok

Answer 12

then you can use the same rule in the top triangle, now the long side is 2x and the hypotenuse is 9..

Answer 13

then how would i use 2x ?

Answer 14

you can try to remember those short cut formulas to relate sides, but it is just using the ratio of sides to get them,,,

LL = 1/2 * H *root(3)

long leg is half the hypotenuse *root3

2x = 1/2 * 9 * root3

Answer 15

x = 9/4 * root3

Answer 16

gimme a moment please

Answer 17

then you can use the short side and long side if you want, 1 - root(3) - 2

long side is root(3) times the short side

2x = (9/2) * root3 , same answer

Answer 18

the hard part is just to remember the side ratio
30-60-90
1 - root(3) - 2

brb

Answer 19

i am just looking over the work. i just need a couple more minutes

Answer 20

why did you do 2x?

Answer 21

from the bottom triangle, that is the hypotenuse and is 2*short side, or 2x

now in this triangle it is the long side

Answer 22

you can fill in the short side quick, it is half the hypotenuse, or 9/2

Answer 23

then the long side is root3 times the short side
long side - 2x
short side - 9/2

2x is root(3) * 9/2

Answer 24

you will get it, just need a couple practice probs to get the side proportions down

Answer 25

how did you get 9root3/4?

Answer 26

nvm

Answer 27

i got it

Answer 28

1- filled in the short side as half the hypotenuse - 9/2

2- remember the ratio for sides, 1 - root(3) - 2
short = long*root3

Answer 29

kk

Answer 30

thx!