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Unit 8:  Right Triangles

Section 8.1: Pythagorean Theorem

Links to videos from the textbook 
Pythagorean Theorem Examples from Textbook
Converse of the Pythagorean Theorem Examples from Textbook

Pythagorean theorem: Pythagorean Theorem

Pythagorean theorem 1: Pythagorean Theorem 1

Pythagorean theorem 3: Pythagorean Theorem 3

The Pythagorean theorem intro: Introduction to the Pythagorean Theorem

Pythagorean theorem 2: Pythagorean Theorem 2

Section 8.2:  Special Right Triangles

Links to videos from the textbook 
Special Right Triangles Examples from the Textbook

30-60-90 triangle side ratios proof: Proving the ratios between the sides of a 30-60-90 triangle

45-45-90 triangle side ratios: Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)

30-60-90 triangle example problem: Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem

Section 8.3:  Beginning Trig Ratios

Links to videos from the textbook 
Beginning Trig Ratios (Tangent) from Textbook
Beginning Trig Ratios (Sine and Cosine) from Textbook

Basic trigonometry: Introduction to trigonometry

Example: Using soh cah toa: Worked example evaluating sine and cosine using soh cah toa definition.

Section 8.4:  More Trig Ratios

Links to videos from the textbook 
Solving Right Triangles Examples

Example: Trig to solve the sides and angles of a right triangle: Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.

Section 8.5:  Law of Sines & Law of Cosines

Law of cosines example: