Question

figure ABCD is a rectangle AC and BD are diagonals. AC =25 meters and BC =15 meters. what is the length of DE?

Answer 1

We have here a rectangle whose one side measures 15 m, and one diagonal measures 25 m.

Please remember the properties of rectangles:

1. they are parallelograms, which means that their diagonals bisect each other

2. their diagonals are congruent or equal in size

So AC = BD and if AC = 25, then DB must also be 25 m.

BEcause they bisect each other, E is the midpoint of both AC and DB. It means that DE = 1/2 DB.

`\begin{gathered} DE=(1)/(2)DB \\ \\ DE=(1)/(2)(25) \\ \\ DE=12.5m \end{gathered}`

The answer is 12.5 meters.