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given rectangle abcd below. if be = 94, find ce.

Question

given rectangle abcd below. if be = 94, find ce.

Explanation:

Step1: Recall rectangle diagonals property

In a rectangle, the diagonals are equal and bisect each other. So, diagonals \(AC\) and \(BD\) bisect each other at point \(E\). This means \(BE = DE\) and \(AE = CE\), and also \(BE=\frac{1}{2}BD\), \(CE = \frac{1}{2}AC\), and since \(AC = BD\) in a rectangle, \(BE=CE\).

Step2: Determine \(CE\) value

Given \(BE = 94\), from the property of rectangle diagonals (bisecting each other), we have \(CE=BE\). So \(CE = 94\).

Answer:

\(94\)