Question

a triangular parks measurements are shown in the drawing below. each row of the chart shows one given measurement in inches for a possible scale drawing of the park. use the one given measurement to find the two missing measurements. left side base right side 3 8 7 14 40

Explanation:

Step1: Find the scale factor

The ratio of the sides in the original triangle is \(30:80:70 = 3:8:7\). This ratio will be maintained in the scale - drawings.

Step2: For the second row where right - side is 14

The scale factor \(k=\frac{14}{7}=2\). So the left - side is \(3\times2 = 6\) and the base is \(8\times2=16\).

Step3: For the third row where base is 40

The scale factor \(k = \frac{40}{8}=5\). So the left - side is \(3\times5 = 15\) and the right - side is \(7\times5=35\).

Answer:

Left side	Base	Right side
15	40	35