Question

PLEASE HELP:Given two similar figures, if AB=17 when DE=4, and AC=16, then DF=?Round your answer to the nearest hundredth if necessary

Answer 1

DF=3.76

Explanation

Step 1

as the figures are similar, the ratios between the sides must be equal,then

$\begin{gathered} ratio1=ratio2 \\ \\ \frac{AB}{AC}=\frac{DE}{DF} \\ \text{replacing} \\ \frac{17}{16}=\frac{4}{DF} \\ 17\cdot DF=4\cdot16 \\ DF=\frac{4\cdot16}{17} \\ DF=\frac{64}{17}=3.76 \\ DF=3.764 \\ \text{rounded to the nearest hundredth} \\ DF=3.76 \end{gathered}$

I hope this helps you