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Chapter 9: Q16. (page 337)

SR炉 is tangent to 鈯�P and 鈯�Q.

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

PQ=?,PS=?,ST=?

Short Answer

Expert verified

The required values are,

PQ=20,PS=18andST=16

Step by step solution

01

Step 1. Given information.

鈯�PAny SR炉 is tangent to 鈯�P and 鈯�Q. Also QT=6,TR=8andPR=30.

02

Step 2. Concept used.

Applying Pythagoras in triangle 螖RTQ to find the value of PQ.

Here, 螖RTQis right angle triangle,

QR2=62+82QR2=36+64QR鈥夆赌夆赌夆赌�=10

As value of ,

PQ=30鈭�10PQ=20

03

Step 3. Let ST be x and SP be y.

Here, TQ炉||SP炉

Then,

810=x20x鈥夆赌夆赌夆赌�=8鈰�鈥�2010x鈥夆赌夆赌夆赌�=16

Same way,

86=24yy鈥夆赌夆赌夆赌�=24鈰�鈥�68y鈥夆赌夆赌夆赌�=18

Therefore, the values are, PQ=20,PS=18andST=16.

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Most popular questions from this chapter

Complete the tables in Exercises 10 and 11.

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

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?

In the diagram, which pairs of angles are complementary? Which pairs of angles are supplementary?

Use a compass to draw a large 鈯�o.Draw a central 鈭�AOB..

a. draw three other points P,Qand R that are on 鈯�obut not on AB铃�.

then draw 鈭�APB,鈭�AQB and 鈭�ARB.

b. Use a protractor to find m鈭�AOB,m鈭�APB,m鈭�AQB and m鈭�ARB.

c. What is the relationship between m鈭�APB,m鈭�AQB and m鈭�ARB?

What is the relationship between m鈭�AOBand m鈭�APB?
See all solutions

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