/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q6. RS炉 and TU炉聽are common intern... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q6. (page 335)

RS炉 and TU炉are common internal tangents to the circles. If RZ=4路7 and ZU=7路3, Find RS and TU.

Short Answer

Expert verified

Value of,RS=12

And, TU=12.

Step by step solution

01

Step 1. Given information.

The figure:

RZ=4.7 And ZU=7.3

02

Step 2. Concept Used.

Theorem 9路1 Corollary:

Tangents to a circle from a point are congruent.

03

Step 3. Consider the given figure for further solution.

From the above figure it is clear that RZ炉 and TZ炉are tangents to the smaller circle from the common point Z,so by theorem 9路1 corollary, it can be said that:

TZ=RZ=4.7 鈥�.. (1)

Similarly, UZ炉andSZ炉are tangents to the bigger circle from the common point Z,so by theorem 9路1 corollary, it can be said that:

SZ=UZ=7.3 鈥�.. (2)

04

Step 4. Thus, from (1) and (2).

RS=RZ+ZS=4.7+7.3=12

And

TU=TZ+ZU=4.7+7.3=12

Therefore, Value of,RS=12, and TU=12.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Plane Z passes through the center of sphere Q.

  1. Explain why QR=QS=QT.
  2. Explain why the intersection of the plane and the sphere is a circle. (The intersection of a sphere with any plane passing through the center of the sphere is called a great circle of the sphere).

Three circles are shown. How many circles tangent to all three of the given circles can be drawn ?

SR炉 is tangent to 鈯�P and 鈯�Q.

QT=6,TR=8,PR=30.

PQ=?,PS=?,ST=?

a. Draw a circle. Place points A,B, and C on it in such positions that

\[mAB铃�+mBC铃�\]does not equal

b. Does your example in part (a) contradict Postulate 16?

鈯�Q and 鈯�R are congruent circles the intersect at C andD. CD炉 is called the common chord of the circles.

  1. What kind of quadrilateral is QDRC? Why?
  2. CD炉Must be the perpendicular bisector of 鈯�Q. Why?
  3. If QC=17 and QR=30, find CD.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.