Unit 5 Test Study Guide Relationships In Triangles Apr 2026

Can sides 4, 7, 12 form a triangle? ( 4+7 = 11 \not> 12 ) → No. Angle-Side Relationship: Largest angle opposite largest side, smallest angle opposite smallest side.

If third sides differ, the angle opposite the longer side is larger. unit 5 test study guide relationships in triangles

In ( \triangle ABC ), median ( AD ) has ( AG = 8 ). Find ( GD ). ( \fracAGGD = \frac21 ) → ( 8/GD = 2 ) → ( GD = 4 ) 5. Altitudes & Orthocenter Altitude: Perpendicular segment from vertex to opposite side (or extension). Can sides 4, 7, 12 form a triangle

Triangles ( ABC ) and ( DEF ) have ( AB=DE, AC=DF ), ( \angle A=80^\circ, \angle D=60^\circ ). Compare ( BC ) and ( EF ). ( BC > EF ) 8. Exterior Angle Theorem Exterior angle = sum of two remote interior angles. If third sides differ, the angle opposite the