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What is the Triangle Inequality Theorem? 1 The Triangle Inequality Theorem states that the sum of ANY 2 SIDES of a triangle must be GREATER than the measure of the 3 rd side.

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Can multiple triangles have the same angle measures? YES! Similar triangles are triangles whose sides are proportionate and the angles are CONGRUENT! 2

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Test the Triangle Inequality Theorem Add each pair of sides to see if it is greater than the third side. Try it with 3 cm, 4 cm, & 6 cm = 7greater than = 10greater than = 9greater than 4 So…Since each two sums are greater than the third, it can be a triangle. 3

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Do you really have to test all 3 sides? No. Just add the two shortest sides. They must be greater than the longest side. 4

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Summarize our findings on pg. 90 in your book… Let’s answer #7 together to summarize the Triangle Inequality Theorem. Does 7, 8, and 25 make a triangle? Is 7+8 > 25? Summary statement: To form a triangle, the sum of any two sides must be greater than the 3 rd side. 5

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es/interactive-triangle.php What is the formula for finding area of a triangle? 6

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What is the sum of all angles in any triangle? 7

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Solve for missing angle measure. Write an equation to solve for the missing angle measure. 8

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Solve for the missing angle measure. Write an equation to solve for x first. Then you can find the missing angle measure. 9

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What do you need to know about geometry? G2 – Draw (freehand & w/ tech) geometric shapes G2 - sum of all the angles in a triangle G2 - how to test side lengths to see if they form a triangle. G3 - 2D shapes that result from cross sections of right rectangular prisms & right rectangular pyramids. G4 – area & circumference of a circle; know relationship between Area & Circum. G5 – Angle pairs - supplementary, complementary, vertical, and adjacent angles G6 – Solve real-world prob with area, volume, surface area of 2D & 3D objects including triangles, quadrilaterals, polygons, cubes, and right prisms. 10

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Determine all the unknown measures in the figure. Handouts included. 11

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Triangle Inequality Theorem Could these be the lengths of a triangle? 1.4, 8, 2 2.5, 6, 7 3.6, 8, , 9, 15 12

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