1. 6.7 Geometric Application 6.8 Complex Numbers

2. Pythagorean Theorem c2 = a2 + b2 So c = a2 + b2 a = c2 - b2
b = c2 - a2
Hypotenuse c
Leg a
Leg b

3. Examples
c=?
a=3
b=5
c=13
b=12
a=?

4. Examples A square has the diagonal of 3 2. Find the side of the square
2) Find c
3 2
c = ?
4cm

5. Examples using Pythagorean Theorems
2) The base of a 10 ft long guy wire is located 7 ft from the telephone pole. How high is the pole?

6. Draw set of complex numbers

7. An imaginary number is a number that can be written as: a + bi (a, b Є R, b ≠ 0)
Example: i, or 8i

8. 8i Example: -3 + 4i -5 Complex number a + bi (a, b Є R, a, b can be 0)
Complex numbers: include real and imaginary #s
Example: i 8i -5
We can see imaginary in engineer work

9. Power of i:
Even power -1 or 1; Odd power –i or i

10. i12 = 1
i30 = -1
i17 = i
i43 = -i