Similar Right Triangles
47 min 9 Examples
- Introduction
- 2 Important Theorems
- What is the length of the altitude drawn to the hypotenuse? (Examples #1-6)
- The altitude to hypotenuse is drawn in a right triangle, find the missing length (Examples #7-9)
Converse Pythagorean Theorem
27 min 11 Examples
- Review of the Pythagorean Theorem (Examples #1-2)
- Understanding the Converse Pythagorean Theorem
- Classify the triangle as Right, Acute, or Obtuse (Examples #3-7)
- Use the Pythagorean theorem to find the missing length of the polygon (Examples #8-11)
Special Right Triangles
1 hr 6 min 19 Examples
- Introduction
- Overview of the 45-45-90 and 30-60-90 Triangles
- Given the special right triangle, find the unknown measures (Examples #1-6)
- Find the missing measures for the given problems (Examples #7-11)
- How to find trig ratios (Examples #12-15)
- Find the indicated measure given an equilateral triangle and square (Examples #16-17)
- Solve the word problem (Examples #18-19)
Soh Cah Toa
33 min 19 Examples
- Introduction to Trigonometric Ratios (Sine, Cosine, Tangent)
- Understanding SOH-CAH-TOA
- Find the three trig ratios for both acute angles (Examples #1-4)
- Complete the table using Soh-Cah-Toa (Examples #5-6)
- How to solve for an angle using a calculator? (Examples #7-12)
- Solve the right triangle by finding all missing sides and angles (Examples #13-14)
- Solve the word problem involving a right triangle and trig ratios (Example #15)
- Solve for x by using SOH CAH TOA (Examples #16-19)
Chapter Test
16 min 23 Practice Problems
- Problems #1-6: Find the value of each variable given a right triangle
- Problems #7-9: Find the value of each variable given a right triangle
- Problems #10-12: Determine if the triangle is right, acute or obtuse
- Problem #13: Find the trigonometric ratios for both acute angles in the right triangle
- Problems #14-15: Use trig ratios to find the indicated sides
- Problems #16-18: Use SOH-CAH-TOA to find the indicated side or angle. Round to the hundredth place
- Problems #19-21: Solve the right triangle. Round to 3 decimal places
- Problems #22-23: Use right triangle similarity to solve