Question

what is the area of triangle def? 490 square centimeters 735 square centimeters 294 square centimeters 588 square centimeters

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height of the triangle

From the given triangle \(DEF\), the base \(DF = 42\space cm\) and the height (the perpendicular distance from \(E\) to \(DF\)) is \(28\space cm\).

Step3: Substitute the values into the formula

Substitute \(base = 42\) and \(height=28\) into the formula \(A=\frac{1}{2}\times base\times height\).

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Answer:

588 square centimeters