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triangle: base = 7 units height = 4 units parallelogram: base = 7 units…

Question

triangle: base = 7 units height = 4 units parallelogram: base = 7 units height = 4 units area of parallelogram = 28 square units area of triangle = 14 square units complete the statement. to find the area of the triangle, find the of the base and the height.

Explanation:

Step1: Recall area formulas

The area formula of a parallelogram is \(A = b\times h\) (where \(b\) is the base and \(h\) is the height), and the area formula of a triangle is \(A=\frac{1}{2}\times b\times h\).

Step2: Analyze the relationship

We know that the area of the parallelogram with \(b = 7\) and \(h = 4\) is \(A_{parallelogram}=7\times4 = 28\). The area of the triangle with \(b = 7\) and \(h = 4\) is \(A_{triangle}=\frac{1}{2}\times7\times4=14\). So, to find the area of the triangle, we take half (or one - half) of the product of the base and the height.

Answer:

half (or one - half), product