Question

defgh ~ srvut. find de and dh. de = dh =

Explanation:

Step1: Find the scale factor

Since \(DEFGH\sim SRVUT\), the scale factor \(k\) is \(\frac{GF}{RV}=\frac{6}{27}=\frac{2}{9}\)

Step2: Find \(DE\)

Corresponding side of \(DE\) is \(SR\). Using the proportion \(\frac{DE}{SR}=k\). Let \(DE = x\), \(SR = 54\), then \(x=54\times\frac{2}{9}=12\)

Step3: Find \(DH\)

Corresponding side of \(DH\) is \(ST\). Using the proportion \(\frac{DH}{ST}=k\). Let \(DH = y\), \(ST = 36\), then \(y = 36\times\frac{2}{9}=8\)

Answer:

\(DE = 12\)
\(DH = 8\)