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- 3. Three other functions may be found as reciprocals of the three basic functions are:
- 5. Pythagorean Theorem > is a mathematical relationship between the sides of a right triangle which is any triangle that has one right internal angle.
- 6. Pythagoras once stated that if the length of the legs is squared and their sum is found, the sum will be equal to the square of the hypotenuse or longest side.
- 7. > A triangle has six parts – three sides and three angles. > The side opposite the right angle is called hypotenuse (h) this is always the longest side of the triangle. > The opposite side it is opposite the angle. > The adjacent side it is near the angle.
- 9. Example: B C A 3m θ 7m ? = 32 + 72 = 9 + 49 c2 = c = 7.62m
- 10. Exercises: Find the value of sides using Pythagorean Theorem. 1. B C A 5m 6m c θ
- 11. Answer c2 = a2 + b2 = 52 + 62 = 25 + 36 c2 = c = 7.81m
- 13. Answer a2 = c2 - b2 = 122 - 102 = 144 – 100 a2 = a = 6.63cm
- 14. Activity Answer the following: 1. a = 4in, b = ?, c = 9in 2. a = 6cm, b = 13cm, c = ? 3. a = 3cm, b = 2cm, c = ?
- 15. Assignment no. 4 Define the following: • a. Angles of Elevation • b. Angles of Depression Reference: Advanced Algebra p.213