Entering The World Of Triangles

concepts · 7

1. 01

   Constructing Equilateral Triangles

   Learn to accurately construct an equilateral triangle using a compass and straightedge.

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2. 02

   The Triangle Inequality

   Understand that the sum of any two sides of a triangle must be strictly greater than the third side.

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3. 03

   Constructing Given Sidelengths (SSS)

   Learn the procedural steps to construct a triangle when three valid side lengths are known.

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4. 04

   Constructing With Angles (SAS And ASA)

   Learn to construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA).

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5. 05

   The Angle Sum & Exterior Angle Properties

   Prove and apply the rule that triangle interior angles sum to 180°, and related exterior angle relations.

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6. 06

   Altitudes And Triangle Types

   Define altitudes, construct them using a set square, and classify triangles by angles.

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7. 07

   Review: Intersecting Lines

   Synthesize construction techniques, the triangle inequality, and angle properties to master triangle geometry.

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