Question

triangles abc and def are similar triangles. solve. round to the nearest tenth.
find the height of triangle def.

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1. -/1 points

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Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of their corresponding sides are equal. Let the height of triangle \(DEF\) be \(h\). The proportion is \(\frac{3}{5}=\frac{2}{h}\).

Step2: Cross - multiply

Cross - multiplying gives \(3h = 5\times2\).

Step3: Solve for \(h\)

\(3h=10\), so \(h=\frac{10}{3}\approx3.3\).

Answer:

\(3.3\)