Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
1. Areas of Parallelograms and Triangles
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Exercise 14 Page 619

To find the area, calculate half of the product of the base and its corresponding height.

14m^2

Practice makes perfect

We are asked to find the area of the given triangle.

The area is half the product of its base and its height. The height is the altitude perpendicular to whichever side is being used as the base.

In the given triangle we can see that the base consists of two segments of length, 4meters and 3meters. By combining these two segments, we see the base is 7meters, while the height is 4meters. We can then substitute these two values into the formula for the area of a triangle and simplify.
A=1/2bh
A=1/2(4)( 7)
â–Ľ
Evaluate right-hand side
A=1/2(28)
A=28/2
A=14
The area of the triangle is 14m^2.