IM 6.1.9 Lesson: Formula for the Area of a Triangle

[size=150]Study the examples and non-examples of [b]bases[/b] and [b]heights[/b] in a triangle.[/size][br][br][list][*]Examples: These dashed segments represent heights of the triangle.[br][/*][/list][br][img]data:image/png;base64,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[/img][br][list][*]Non-examples: These dashed segments do [i]not[/i] represent heights of the 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[/img][br][br]Select [b]all[/b] the statements that are true about bases and heights in a triangle.
For each triangle: Identify a base and a corresponding height, and record their lengths in the table below. Record their areas in the table. In the last row, write an expression for the area of any triangle, using b and h.
For each triangle, circle a base measurement that you can use to find the area of the triangle.
Now, find the area of any three triangles. Show your reasoning.
Close

Information: IM 6.1.9 Lesson: Formula for the Area of a Triangle