Right triangles & trigonometry

Geometry - Right Triangles & Trigonometry: What You Need to Know

An overview of right triangle geometry covering the Pythagorean theorem in 3D, special triangle ratios (45-45-90 and 30-60-90), and trigonometric ratios (SOH CAH TOA).

Geometry - Pythagorean Theorem in 3D

Learn how to find the space diagonal of a 3D box by applying the Pythagorean theorem twice—first across the base, then through the height.

Geometry - Pythagorean Theorem Challenge Problem

Learn to calculate ramp and handrail lengths using the Pythagorean theorem with a 3-4-5 right triangle example, finding total material needed for a loading dock project.

Geometry - Special Right Triangles: 30-60-90 and 45-45-90

Learn the 45-45-90 and 30-60-90 triangle shortcuts to solve problems faster without the Pythagorean theorem. Master these ratios for quick trig solutions.

Geometry - SOH CAH TOA: Intro to Trig Ratios

Learn the three basic trigonometric ratios (sine, cosine, tangent) using SOH CAH TOA and how they relate sides of right triangles to angles.

Geometry - Finding a Missing Side with Trigonometry

Learn how to use trigonometry to find the height of a building using angles and distances. Covers sine, cosine, tangent ratios and solving right triangle problems.

Geometry - Finding a Missing Angle with Inverse Trig

Learn how to use inverse trigonometric functions to find unknown angles in right triangles when you know two sides. Step-by-step example included.

Geometry - Sine and Cosine of Complementary Angles

This video explains how sine and cosine are related through complementary angles in right triangles, showing that sin(θ) = cos(90° - θ) with clear examples.

Geometry - Right Triangle Trig Word Problem

Learn how to find building height using trigonometry and angle of elevation. Covers tangent ratio, SOH CAH TOA, and solving right triangle problems step-by-step.