Question

Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is

Answer 1

Answer:

9. ABCD is a Squade. E, F, GLH are the

mid points of AB, BC, CD and DA

respectively. Such that AE = Bf=(G=Dt1.

Prove that EFGH is a square

x (soy) SAE - BF=CG= DH = X

BE = CF =DG=AH=Y

In AAE it and ABff, we have

AE = BE

(A = LB

and

AH = BE

so, by SAS lorgreency criterion, we have