Download presentation

Presentation is loading. Please wait.

Published byLeslie Higgins Modified over 4 years ago

1
**Sec 10-6 Date: Concept: Segment Lengths in Circles**

Objective: Given theorems about chords of a circle, find the lengths of segments.

2
Thm 10.15: If 2 chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. C A B D E EA·EB=EC·ED

3
**Example: Chords AB and CD intersect inside the circle**

Example: Chords AB and CD intersect inside the circle. Find the value of x. 12·9=x·18 108=18x 6=x C B D A 9 x 12 18

4
**Example: Chords AB and CD intersect inside the circle**

Example: Chords AB and CD intersect inside the circle. Find the value of x. x 4 7 16 x·4=7·16 4x=112 X=28

5
Thm 10.16: If two secant segments share the same endpoint outside a circle, then the product of the lengths of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment E A B D C EA·EB=EC·ED

6
**Example: Find the value of x.**

10 11 x 12 11·21=12(12+x) 231=144+12x 87=12x 7.25=x

7
**Find the value of x x·(x+29)=15·50 X2+29x=750 X2+29x-750=0 29 x 35 15**

Solve by quad. formula

8
Thm 10.17: If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segment and the length of its external segment equals the square of the length of the tangent segment (EA)2=EC·ED E A D C

9
**Example: find the value of x**

10 12

10
**Example: find the value of x**

62=x·(x+5) 36=x2+5x X2+5x-36=0 (x+9)(x-4)=0 x+9=0 x-4=0 X=-9 x=4 6 x 5

11
Today’s Work

Similar presentations

Presentation is loading. Please wait....

OK

Circles: The Length of Tangent/Secant Lines

Circles: The Length of Tangent/Secant Lines

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on diode circuits on breadboard Download ppt on mind controlled robotic arms for education Ppt on air insulated substation Ppt on natural and artificial satellites in space Ppt on the road not taken questions Ppt on reflection of light for class 10th Ppt on hydroelectric power station Ppt on the road not taken frost Production in the short run ppt on tv Ppt on statistics in maths