Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals

You can see that the area of parallelogram ABCD is equal to the area of rectangle EBCF.

For a parallelogram with base b and height h, the area is given by the formula: A parallelogram = ______ Note that the height is the length of the segment perpendicular to the base from a point on the opposite side which is called the altitude of the parallelogram.

Any triangle is half of a parallelogram Any triangle is half of a parallelogram. For a triangle with base b and height h, the area is given by the formula: A triangle = ________   The height is the length of the ____________ to the base

Example: Find the area of to the nearest 1000th.

Example: A triangle has an area of 56 and a base of 10. Find its height.

An altitude of a trapezoid is a segment perpendicular to the two bases with an endpoint in each o0f the bases. The length of an altitude will be the height of the trapezoid.

For a trapezoid with bases b1 and b2 and height h, the area of a trapezoid is given by the formula:

Recall that the diagonals of both rhombuses and kites are perpendicular.