Question

How do u do this?

Answer 1

do what?

Answer 2

Question

Answer 3

You just turned yellow.

Answer 4

what

Answer 5

This looks like geometric mean

Answer 6

yeah

Answer 7

@ibrafacts have you covered "similarities" for triangles yet?

Answer 8

yes

Answer 9

no im saying what to candycove

Answer 10

@ibrafacts alrite... gimme a sec, I'll post a picture of what you have

Answer 11

okay thx

Answer 12

hmm is the 2nd triangle there part of the same thing?

wondering what that triangle upside-down is doing there

Answer 13

no different question

Answer 14

k

Answer 15

yup

Answer 16

so.. notice the bigger triangle
once you draw a line, from the vertex atop, perpendicular to the bottom line
you end up making 2 smaller SIMLAR triangles
similar to each other, and similar to the bigger one

Answer 17

and with those 3 similar triangles
you can use the proportiions of their sides to get the variables :)

Answer 18

yes

Answer 19

for example, notice the "biggest" one, has a slanted side of 1 + 4, or 5
and the slanted part of the "medium" one, has a value of "z", so \(\bf \cfrac{5}{z}\)

and notice the "biggest" one, has a base of "z"
and the "medium" one, has a base of "4" thus, \(\bf \cfrac{z}{4}\)

thus, we have then \(\bf
\cfrac{5}{z}=\cfrac{z}{4}\)

Answer 20

and you can get "z" from that proportion

Answer 21

yup

Answer 22

so z=20?

Answer 23

if you notice the "biggest" triangle, and the "smallest" one, you can also use the proportitions of \(\bf \cfrac{x}{1}=\cfrac{5}{x}\)

Answer 24

\(\bf \cfrac{5}{z}=\cfrac{z}{4}\implies 20=z^2\implies \sqrt{20}=\sqrt{z^2}
\\ \quad \\
\sqrt{20}=z\implies \sqrt{2^2\cdot 5}=z\implies 2\sqrt{5}=z\)

Answer 25

cant u have it in decimals?

Answer 26

well, notice the instructions
"if the answer is not a whole number
leave it in simplest radical form"

Answer 27

and if you use the "middle" triangle and "smallest" one
you can also use the proportions of \(\bf \cfrac{y}{1}=\cfrac{4}{y}\)

Answer 28

medium rather =)

Answer 29

oh so for example if its \[\sqrt{30}\] the simplest radical form would be 3sqrt2

Answer 30

\(\sqrt{30}\) ?

Answer 31

yeah

Answer 32

but anyhow, you'd do the same with other triangle
take out the 2 smaller triangles made

line up all up side by side
and use the proportions to get the variables

Answer 33

okay