Question

Find the values of A and B

Answer 1

do you know how ot find the ratio of 2 SIMILAR shapes?

Answer 2

using proportions?

Answer 3

right, so ... gimme one sec

Answer 4

Okay, I just want to know how to set the proportion up :D

Answer 5

so, what you really have is 3 SIMILAR TRIANGLES
2 small ones made by the blue line, the "altitude", and the big one containing both

Answer 6

so, using the corresponding sides, let us use the 2 small ones first, one can say that \(\bf \cfrac{32}{a}=\cfrac{a}{2}\)

Answer 7

so A=64 ?

Answer 8

\(\bf \cfrac{32}{a}=\cfrac{a}{2}\implies 64=a^2\)

Answer 9

so, you'd need to take root to both sides, to get "a"

Answer 10

now im lost

Answer 11

\(\bf \cfrac{32}{a}=\cfrac{a}{2}\implies 64=a^2\implies \sqrt{64}=\sqrt{a^2}\)

Answer 12

nevermind i got it lol a=8

Answer 13

hmmm I think my big triangle might be in the wrong position.... so... lemme repost the picture

Answer 14

so... any ideas how to get "b"?
we could use the smallest triangle and the really big one for "b" :)

Answer 15

i guess the proportion for B would be \[\frac{ b }{ 2 } * \frac{ 34 }{ b }\]
I got the 34 from 32+2, i dont know if im right

Answer 16

well, if we instead trade the " * " for a " = ", you're correct :) \(\bf \cfrac{b}{2}=\cfrac{34}{b}\implies b^2=68\implies b=\sqrt{68}\implies b=2\sqrt{17}\)

Answer 17

oh yeah they are equal to each other lol Okay thank you so much :D

Answer 18

yw