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In ( \triangle ABC ), ( AB=5, BC=7, AC=9 ). Which angle is largest? Largest side ( AC ) → opposite ( \angle B ) is largest. 7. Hinge Theorem (SAS Inequality) If two sides of one triangle are congruent to two sides of another, and the included angle of the first is larger, then the third side of the first is longer.
Triangle ( ABC ) has midpoints ( D ) on ( AB ) and ( E ) on ( AC ). If ( BC = 18 ), find ( DE ). Answer: ( DE = 9 ) 2. Perpendicular Bisectors & Circumcenter Perpendicular bisector: A line/segment/ray perpendicular to a segment at its midpoint.
Here’s a for a typical Unit 5: Relationships in Triangles (commonly from Geometry courses like Pearson, Eureka, or Texas TEKS).
In ( \triangle ABC ), ( AB=5, BC=7, AC=9 ). Which angle is largest? Largest side ( AC ) → opposite ( \angle B ) is largest. 7. Hinge Theorem (SAS Inequality) If two sides of one triangle are congruent to two sides of another, and the included angle of the first is larger, then the third side of the first is longer.
Triangle ( ABC ) has midpoints ( D ) on ( AB ) and ( E ) on ( AC ). If ( BC = 18 ), find ( DE ). Answer: ( DE = 9 ) 2. Perpendicular Bisectors & Circumcenter Perpendicular bisector: A line/segment/ray perpendicular to a segment at its midpoint.
Here’s a for a typical Unit 5: Relationships in Triangles (commonly from Geometry courses like Pearson, Eureka, or Texas TEKS).