- Triangles and are all similar. [Diff: 2]
- inches[Diff: 2]
- mm, or approximately mm [Diff: 2]
- yards,or approximately yards[Diff: 2]
- feet, or approximately feet [Diff: 3]
- inches,or approximately inches[Diff: 3]
- inchesor approximately inches[Diff: 3]
- inchesor approximately inches.Oneway to find is with the geometricmean:
inches.Alternatively, usingthe answerfrom9 and one of the smallerright triangles,inches[Diff: 3].SpecialRightTriangles
LearningObjectives
- Identifyand use the ratiosinvolvedwith right isoscelestriangles.
- Identifyand use the ratiosinvolvedwith triangles.
- Identifyand use ratiosinvolvedwith equilateraltriangles.
- Employright triangleratioswhensolvingreal-worldproblems.
Introduction
Whathappenswhenyou cut an equilateraltrianglein half usingan altitude?You get two right triangles.
Whatabouta square?If you drawa diagonalacrossa squareyou also get two right triangles.Thesetwo
right trianglesarespecialspecialright trianglescalledthe and the
right triangles.Theyhaveuniquepropertiesand if you understandthe relationshipsbetweenthe sidesand
anglesin thesetriangles,you will do well in geometry, trigonometry, and beyond.