QUESTION IMAGE
Question
to find the area of the triangle shown, francisco made a parallelogram. how can francisco find the area of the triangle? he can find? the? of 10 and 8
Step1: Recall the relationship between triangle and parallelogram area
The area of a parallelogram is \(A = base\times height\). A triangle with the same base and height as a parallelogram has an area that is half of the parallelogram's area.
Step2: Analyze the given values
Here, the base of the parallelogram (and the triangle) is \(b = 10\) and the height is \(h=8\). The area of the parallelogram is \(A_{parallelogram}=10\times8\). Since the area of the triangle is half of the parallelogram's area made from two congruent triangles.
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He can find half the product of 10 and 8.