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Understanding Triangle Area: Formulas and Examples Explained

This chapter explores the concepts and formulas related to the area of triangles. Triangles can be thought of as half of parallelograms. There are two main formulas for calculating the area of a triangle: A = ½ * b * h and A = b * h / 2. The base and height play crucial roles, and sometimes the height is intrinsic to the triangle's shape. Examples demonstrate how to apply these formulas, including solving for height when the area is provided. Remember to always label area in square units to ensure clarity in your calculations.

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Understanding Triangle Area: Formulas and Examples Explained

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  1. Chapter 9.1 C Geometry: Areas of Triangles

  2. What is a triangle? Triangles are pretty much just parallelograms cut in HALF

  3. Area of a triangle There are 2 formulas for triangles A = ½ b x h A = b x h H E I G H T 2 BASE H E I G H T On some triangles the height IS part of the shape!!! BASE

  4. Just follow the formula and you’ll be fine! 7 in. 6 in. 8 in. 4.2 in ALWAYS write the formula, then plug in the numbers! A = ½ b x h A = ½ 4.2 x 7 A = ½ b x h A = ½ 8 x 6 A = 14.7 in2 A = 24 in2 Area is always labeled in “square” measures

  5. Working backwards A = 36 ft2 h 12 ft. Since we know the AREA already, work the problem backwards to find the height! A = ½ (b x h) 36 = ½ (12 x h) 36 x 2 72 = 12 x h 72 / 12 6 = h

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