Question

help with this triangle thing, i draw pic and state question, give medal :)

Answer 1

B ia the midpoint of AC.
D is the midpoint of CE
Solve for x, given BD = 3x + 5 and AE = 4x + 20.

Answer 2

is this question related to 'Similarity of triangles' topic ?

Answer 3

i believe so yeah :)

Answer 4

good, so can you prove two triangles similar given enough information /conditions ?

Answer 5

yes, you can :)

Answer 6

ok,so B is the midpoint of AC. ---->then CB/CA =... ?

Answer 7

can u find the ratio CB/CA ?

Answer 8

but dont you need one of the numbers?

Answer 9

from CB=BA, you can find CB/CA

Answer 10

hint :
CA=CB+BA

Answer 11

yes, you can

Answer 12

so, CB/CA=...?

Answer 13

BA?

Answer 14

let me find you the ratio....
CA=CB+BA
but CB=BA
CA=CB+CB =2CB
so, CB/CA = 1/2
got this ?

Answer 15

yes :) i understand it all

Answer 16

in exactly same manner.,CD/CE=.... ?

Answer 17

DE

Answer 18

the ratio ?

Answer 19

CE is just CD and DE put together.
CD and DE are the same length
so CD times 2 is CE.
all that is correct..which would mean that X has to be the same and after you find X, both equations should equal the same. but how do i find X?

Answer 20

actually CE is 2 times CD
so, CD/CE =1/2
also angle C is common to both triangles CBD and CAE
so, both these triangles are similar.
hence their sides are proportional
hence,
BD/AE also equals 1/2
---> AE=2BD
4x+20 =2(3x+5)
find 'x' from here :)

Answer 21

4x+20 = 6x +10
2x= 10
x=5 :)

Answer 22

oh i see now what you did.
ok, thanks, thats cool :)

Answer 23

welcome ^_^
ask if any doubts ?

Answer 24

nope, im good :) thanks soo much, i have a huge assienment and out of 19 questipns, only 2 to go, and i did everything else on my own..thanks :)