Geometry math question no Guessing and Please show work

Question

asked Oct 16, 2019 166k views

1 Answer

Kaushik Shrimali · Answer 1 · 2019-10-19T22:37:45+0000

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

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