Question

E is the midpoint of AB. AD:DC = 2:1. Area of BEC: Area of CDE : area of AED = ?

Answer 1

@perl

Answer 2

@jim_thompson5910

Answer 3

I'm not even sure of what they're asking exactly.

Answer 4

do they want the area of AED

or

do they want the ratio of the areas (if so, which areas?)

Answer 5

find the ratio of the areas stated in the question

Answer 6

@jim_thompson5910 CEA and ADE 90 degrees correct?

Answer 7

I don't think there is enough info to say yes or no

Answer 8

maybe you can upload a picture or diagram

Answer 9

ive given all the provided info including a diagram

Answer 10

there was not a diagram provided, sometimes its easier if we see the original

Answer 11

I cant upload the original, what ive drawn is the given diagram

Answer 12

thanks :)

Answer 13

If triciaal's assumption is correct, and we can say CEA and ADE 90 degrees, then the book authors would have put in these square angle markers



IF that assumption is true, then there is a way to connect the areas to form ratios. However, that info isn't given so I don't think it's safe to assume that.

Answer 14

there is no assumption, e is the midpoint and that's it

Answer 15

I think since BE = AE then EC is the perpendicular bisector so that would make it 90 degrees

Answer 16

it isn't given

Answer 17

triciaal, you can have a bisector that isn't perpendicular

Answer 18

CBE = CAE

this has to do with similar figures but need to match the correct sides for the ratio. given the proportion 2:1

Answer 19

just draw altitudes. area or BEC = area of BEA (the two triangles share a common altitude)

Answer 20

base of BEC is BE, height is XC, base of AEC is AE, height is XC. equal bases, equal heights.