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Properties of Triangles

Emma and Tiana prove the Triangle Angle Sum Theorem (angles of a triangle add up to 180 degrees) and use the Triangle Inequality Theorem to determine whether three given side lengths can form a triangle. 0:00 Triangle Tiling Pattern 0:16 using tracing paper to find congruent angles of triangle's 1st angle 0:59 finding congruent angles of triangle's 2nd angle 1:08 finding congruent angles of triangle's 3rd angle 1:19 Discover relationship of triangle angles by zooming in on one section of the tiling 1:43 TRIANGLE ANGLE SUM THEOREM 1:51 Proving the Triangle Angle Sum Theorem 2:46 Applet visualization of Triangle Angle Sum Theorem proof 3:18 Discovering a relationship of triangle sides 3:43 Testing possible third side lengths of a triangle with 8" and 6" sides 4:21 Summarize findings 4:51 TRIANGLE INEQUALITY THEOREM 5:15 Given three sides, is it a valid triangle? 5:19 Example 1: 5, 3, 10 5:47 Example 2: 4, 12, 9 6:31 Example 3: 5, 2, 4 7:03 Example 4: 3, 5, 8 Sources: CPM Integrated Math II, 1.3.4 Lesson (cpm.org) GeoGebra Applet on Triangle Angle Sum Theorem: https://www.geogebra.org/m/rtX2pbQr