Question

Using the diagram and the given lengths, what is the perimeter of the circumscribed quadrilateral?

Answer 1

@Michele_Laino i dont understand this?

Answer 2

I saw online to use AB + CD = BC + DA

Answer 3

first step:
we have a theorem which allows us to write this:
\(BC=CD\)
\(AB=AH\)
\(DE=FE\)
\(HG=GF\)

Answer 4

so we can write:
\(BC=AC-AB=AC-AH=7-3=...\)

Answer 5

4?

Answer 6

correct! so we can write this:
\(AB=AH=3\)
\(BC=CD=4\)
\(DE=EF=5\)
\(GF=HG=EG-5=...?\)

Answer 7

7?

Answer 8

correct!
so, the requested perimeter, is:
\(AC+CD+EG+GA=7+9+12+10=...?\)

Answer 9

38! thank you (:

Answer 10

:)