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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

1. Areas of Parallelograms and Triangles

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Exercise 34 Page 785

Plot the given points on a coordinate plane and graph the triangle. Find the lengths of the base and the height by counting the squares.

$15 units^{2}$

Practice makes perfect

Let's plot the given points on a coordinate plane and graph the triangle.

The area of a triangle is half the product of a base and its corresponding height. Notice that we can find the length of the base and the height of our parallelogram by counting the squares on the coordinate plane.

We can see that the length of the base

b

is

6

and the length of the height

h

is

5 .

Now, we can substitute these measures into the formula for the area of a triangle.

A = \frac{1}{2} b h

$b = 6$ , $h = 5$

A = \frac{1}{2} (6) (5)

Multiply

A = 15

The area of the triangle is

15

square units.

Subchapter links

Check Your Understanding p.783

Practice and Problem Solving p.783-785

H.O.T. Problems p.785

Standardized Test Practice p.786

Spiral Review p.786

Skills Review p.786