Core Connections Geometry, 2013
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Core Connections Geometry, 2013 View details
Chapter Closure

Exercise 129 Page 271

a Let's go through the shapes one at a time.

Triangle

The height of a triangle is always perpendicular to its base. Therefore, in this case, the base will have to be drawn outside of the triangle.


Rectangle

In a rectangle, the height is also perpendicular to it's base. Since a rectangle has four right angles, and the base is the horizontal side, the height is going to be the rectangle's vertical side.

Parallelogram

As with previous figures, the height is perpendicular to the base and should be drawn between two of the parallelograms horizontal sides.

Trapezoid

Just like with the parallelogram, the height is drawn between the parallel sides of the trapezoid and perpendicular to its base.

b Again, let's go through the different shapes one at the time and calculate their areas.

Triangle

The area of a triangle is the product of the height and base divided by 2. A=1/2bh Let's calculate the area for the given triangle.

Rectangle

The area of a rectangle is calculated by multiplying its width and length. A=wl Notice that base and height are interchangeable with width and length. With this, we can calculate the area of the given rectangle.

Parallelogram

The area of a parallelogram is calculated by multiplying its base and height. A=bh With this, we can calculate the area of the given parallelogram.

Trapezoid

The area of a trapezoid is obtained by multiplying the height with the sum of the parallel sides divided by 2. A=1/2h(b_1+b_2) With this, we can calculate the area of the trapezoid.