1. Try these

2. Two secants intersect
OUTSIDE the circle E A B C D
EA • EB = EC • ED

3. x = 31 7 (7 + 13) = 4 (4 + x) 140 = 16 + 4x 124 = 4x Example 3: B 13 AC x D 7
(7 + 13) = 4
(4 + x)
x = 31
140 = x
124 = 4x

4. x = 11.8 x 5 8 6 6 (6 + 8) = 5 (5 + x) 84 = 25 + 5x 59 = 5x Example 4:B x A 5 D 8 6 C E 6
(6 + 8) = 5
(5 + x)
x = 11.8
84 = x
59 = 5x

5. Notice that on the tangent segment, the outside is the whole!
Secant Segment
External
Segment
Tangent Segment

6. Secant and Tangent C B E A
EA2 = EB • EC

7. Example 5: C B x 12 E 24 A
242 = 12
(12 + x)
x = 36
576 = x

8. Example 6: 5 B E 15 C x A x2 = 5
(5 + 15)
x = 10
x2 = 100

9. Given two chords Given two secants OR a tangent and a secant
What you should know by now…
Given two chords
Given two secants OR
a tangent and a secant

10. Work p

11. Homework:
Worksheet
10.5 B