1 / 5

Find CU in Diagram of C with QR = ST = 16

Apply Theorem 10.6 to find the length of CU in a diagram where QR = ST = 16. Use guided practice examples to understand the concept.

robertawest
Download Presentation

Find CU in Diagram of C with QR = ST = 16

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. In the diagram of C, QR = ST = 16. Find CU. Chords QRand STare congruent, so by Theorem 10.6 they are equidistant from C. Therefore, CU = CV. EXAMPLE 4 Use Theorem 10.6 SOLUTION CU = CV Use Theorem 10.6. 2x = 5x – 9 Substitute. Solve for x. x =3 So, CU = 2x = 2(3) = 6.

  2. In the diagram in Example 4, suppose ST = 32, and CU= CV = 12. Find the given length. for Example 4 GUIDED PRACTICE 6. QR SOLUTION Since CU = CV. Therefore Chords QR and ST are equidistant from center and from theorem 10.6QR is congruent to ST QR = ST Use Theorem 10.6. QR= 32 Substitute.

  3. In the diagram in Example 4, suppose ST = 32, and CU= CV = 12. Find the given length. 1 1 SoQU = QR SoQU = (32) 2 2 for Example 4 GUIDED PRACTICE 7. QU SOLUTION Since CU is the line drawn from the center of the circle to the chord QR it will bisect the chord. Substitute. QU= 16

  4. In the diagram in Example 4, suppose ST = 32, and CU= CV = 12. Find the given length. 8. The radius of C Join the points Q and C. Now QUC is right angled triangle. Use the Pythagorean Theorem to find the QC which will represent the radius of the C for Example 4 GUIDED PRACTICE SOLUTION

  5. 8. The radius of C ANSWER The radius of C = 20 for Example 4 GUIDED PRACTICE In the diagram in Example 4, suppose ST = 32, and CU= CV = 12. Find the given length. SOLUTION So QC2 = QU2 + CU2 By Pythagoras Theorem So QC2 = 162+ 122 Substitute So QC2 = 256 + 144 Square So QC2 = 400 Add So QC = 20 Simplify

More Related