Problem

(3) 6. The area of a triangle is $12.6 \mathrm{in}^{2}$. Find the height of the triangle if the base is 3.5 in.

Answer

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Answer

\(\boxed{The\ height\ of\ the\ triangle\ is\ 7.2\ inches.}\)

Steps

Step 1 ：Given the area of the triangle is \(12.6\mathrm{in}^{2}\) and the base is \(3.5\mathrm{in}\).

Step 2 ：Use the formula for the area of a triangle: \(Area = \frac{1}{2} \times base \times height\).

Step 3 ：Plug in the given values: \(12.6 = \frac{1}{2} \times 3.5 \times height\).

Step 4 ：Solve for the height: \(height = \frac{12.6 \times 2}{3.5}\).

Step 5 ：Calculate the height: \(height = 7.2\).

Step 6 ：\(\boxed{The\ height\ of\ the\ triangle\ is\ 7.2\ inches.}\)

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