Question

All I want is a hint/ starter on this problem No need to answer. Just bunked on how to start.

Answer 1

A good start is always to draw in the information from the question
So put S² in the rectangle
and als write in an equation what that means using the symbols from the figure

It might also be of use to draw which angles are square, and which angles are the same

Writhing down all info you can get from the figure using Pythagoras (3 times)

Answer 2

From the triangles of similar shape
what ratioś are the same?

Answer 3

AB/AG = AD/AE =BD/BF ? not sure haven't done geo in a while

Answer 4

AB/BD is a already given, which are the same as that ratio?

Answer 5

AG/GE

Answer 6

yes, and another one as well

Answer 7

EF/FD

Answer 8

yes

Answer 9

But I do not know how to translate my only set of numbers into the rest of the proportions

Answer 10

You will have to express the answers also in terms of S

Answer 11

Right now I have 8/10 = AG/GE = EF/FD not sure where to go with this

Answer 12

s= bh

Answer 13

Iĺl need a while to figure this one out

Answer 14

Triangles AGE and ABD are similar. Therefore, AG / GE = AB / BD
(8-y) / x = 8 / 10 = 4 / 5
cross multiply:
40 - 5y = 4x
4x + 5y = 40 ------ (1)

Answer 15

AB^2 + BD^2 = AD^2
AD^2 = 8^2 + 10^2 = 164
AD = sqrt(164)

AE^2 = AG^2 + GE^2 = (8-y)^2 + x^2
AE = sqrt{ (8-y)^2 + x^2 }

ED^2 = EF^2 + FD^2 = y^2 + (10-x)^2
ED = sqrt{ y^2 + (10-x)^2 }

AD = AE + ED
sqrt(164) = sqrt{ (8-y)^2 + x^2 } + sqrt{ y^2 + (10-x)^2 } ------ (2)

Solve (1) and (2) for x and y.

Answer 16

Oh wow, still quite confusing honestly thing this problem would be easier with trig o.e

Answer 17

Can the answer be in terms of "S" ?

Answer 18

Not sure, that screenshot is all I was given not sure if S is needed as we are only looking for GE and EF