11-1 Areas of Parallelograms & Triangles Ms. Andrejko.

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Presentation transcript:

11-1 Areas of Parallelograms & Triangles Ms. Andrejko

Vocabulary Base of parallelogram- can be any side of the parallelogram Height of parallelogram- the perpendicular distance between any two parallel bases Base of a triangle- can be any side of the triangle Height of a triangle- the length of an altitude drawn to a given base

Postulates P The area of a region is the sum of the areas of its non overlapping parts P If two figures are congruent, then they have the same area

Area Formulas Area of parallelogram A = bh Area of Triangle A = ½ bh

Examples

Practice

Examples

Practice

Examples The height of a parallelogram is 10 feet more than its base. If the area of the parallelogram is 1200 square feet, find its base and height. The base of a triangle is one half of its height. If the area of the triangle is 196 square millimeters, find its base and height.

Practice The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 square feet, find its base and height. The height of a parallelogram is three times its base. If the area of the parallelogram is 972 square inches, find its base and height.