166k views
4 votes
Geometry math question no Guessing and Please show work

Geometry math question no Guessing and Please show work-example-1
User TorontoKid
by
5.6k points

1 Answer

7 votes

The point where the two diagonals meet is also the midpoint of both diagonals.

This means that AE = EC . Since we have the value for both segments, we have


AE = EC \implies 2x = x+2 \implies x = 2

Since AC = AE + EC, we have


AE + EC = 2x+x+2 = 3x+2 = 3\cdot 2 + 2 = 6+2 = 8

Geometry math question no Guessing and Please show work-example-1
User Kaushik Shrimali
by
6.5k points