# Thread: Geometry (Triangle)

1. Good post? |

## Geometry (Triangle)

AE = ED , FD = BF. Side AB = 6 cms
If perimeter of quadrilateral EDFB is 6√2. What is the perimeter of ABC.

2. Good post? |
Are tou sure that the side AB = 6 and not AC = 6 since if AC was 6 then
length of perimeter of quadr. is equal to the length of the other 2 sides
and then perimeter of tr. would be 6+6sqrt(2)
wishful thinking!!!
thanx

3. Good post? |
Originally Posted by thankont
Are tou sure that the side AB = 6 and not AC = 6 since if AC was 6 then
length of perimeter of quadr. is equal to the length of the other 2 sides
and then perimeter of tr. would be 6+6sqrt(2)
wishful thinking!!!
thanx
Oh, it could very well be. One of these pbs I found on the net.. However, pl post your procedure.. Thanks

4. Good post? |
BE + ED + DF + FB = (BE + EA) + (CF +FB) since EA = ED and FD = FC so
AB + BC = 6*sqrt(2) and perimeter = 6 + 6*sqrt(2)
(this soln. is based on the assumption that AC = 6 and not AB = 6
as the problem states)
thanx

5. Good post? |
Originally Posted by thankont
BE + ED + DF + FB = (BE + EA) + (CF +FB) since EA = ED and FD = FC - Why ?so
AB + BC = 6*sqrt(2) and perimeter = 6 + 6*sqrt(2)
(this soln. is based on the assumption that AC = 6 and not AB = 6
as the problem states)
thanx
How does FD = BD give FD = FC ? I'm sorry if the qn is basic..but I just didnt get it

6. Good post? |
ISV you are correct I misplaced letters so what I wrote is wrong.
I will see it again...
thanx

7. Good post? |
what s the Official Answer?

8. Good post? |
Originally Posted by thankont
Are tou sure that the side AB = 6 and not AC = 6 since if AC was 6 then
length of perimeter of quadr. is equal to the length of the other 2 sides
and then perimeter of tr. would be 6+6sqrt(2)
wishful thinking!!!
thanx
no it wont be it would be 6root2+6+AE+FC

9. Good post? |
i think it would help if the triangle was given as eq triangle

i solved a bit

ae = ed = x
df=bf=y
bedf = 6root2 --- 1
AB=6 implies be=6-x --- 2

from 1 and 2
2y+x+(6-x) = 6root2
hence y=3root3

form here on we need to know if the triangle is a equilateral triangle based on that we can equate x and y and polish off things else its a toughie

10. Good post? |
I dont have the Official Answer . Sorry

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