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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 1 Page 642

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

84in.^2

Practice makes perfect

The area of a triangle 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 is 21in. and that the height is 8in. We can substitute these two values into the formula for the area of a triangle, and then simplify.

A=1/2bh

h= 8, b= 21

A=1/2(8)( 21)

▼

Evaluate right-hand side

Multiply

A=1/2(168)

MoveRightFacToNumOne

1/b* a = a/b

A=168/2

Calculate quotient

A=84

The area of the triangle is 84 square inches.