Question

the diagonals of square defg intersect at h. given that eh = 5, find the indicated measure. df

Explanation:

Step1: Properties of square's diagonals

In a square, the diagonals are equal and bisect each other. So \(DF = EG\) and \(EH=\frac{1}{2}EG\).

Step2: Calculate \(EG\)

Since \(EH = 5\), then \(EG=2\times EH\). Substituting the value of \(EH\), we get \(EG = 2\times5=10\).

Step3: Find \(DF\)

Because \(DF = EG\) (diagonals of a square are equal), so \(DF = 10\).

Answer:

\(10\)