Pythagoren Triples

This week we continued Trigonometric Functions in chapter seven. Chapter seven discussed angle measurement, circle sectors, and trigonometric functions. We learned about the functions of sine, cosine, and tangent. We also learned about the unit circle, and its relationship to the “Trig Chart.” The trig chart is a chart used to show functions of special angles. Both the unit circle and the trig chart are important, so it was necessary that we learn and remember both of them. We also learned about Pythagorean triples and how they would help us.

Pythagorean Triples saves the time it would take you to use the Pythagorean Theorem.

Ex.

What is a Pythagorean Triple?

- A set of numbers that form a right triangle.

- m and n will form a Pythagorean triple.

Suppose :

- m and n are positive.

- m <>

- n^2-m^2 , 2mn, and n^2+m^2 = a Pythagorean Triple.

The smallest triple is (3,4,5)

m=1 n=2

1 is positive. 2 is positive .

1 is less than 2 .

- 2^2-1^2= 4-1= 3 the first number is 3.

- 2(1)(2) = 4 The second number is 4.

- 2^2+1^2= 4+1=5 The last number is 5.

Therefore, ( 3,4,5) is a Pythagorean triple.