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Chapter 9: Q1. (page 337)

Find AB.In Exercise 3,CB炉 is tangent to 鈯�A.

Short Answer

Expert verified

The length of, AB=15.

Step by step solution

01

Step 1. Given information.

The given figure is as follows,

02

Step 2. Formula used.

tan胃=Opposite sideAdjacent side

03

Step 3. Put the data from the given figure.

tan胃=OppositesideAdjacentsidetan30掳=ACAB13=53ABAB=5(3)=15

Therefore, the value of, AB=15.

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Most popular questions from this chapter

Draw a diagram similar to the one shown, but much larger. Carefully draw the perpendicular bisectors of AB炉 and BC炉.

  1. The perpendicular bisect in a point. Where does that point to be?
  2. Write an argument that justifies your answer to part (a).

Draw two points A & B and several circles that pass through A and B. Locate the centers of these circles. On the basis of your experiment, complete the following statement:

The centers of all circles passing through A and B lie on ______.

Write an argument to support your statement.

Quad. ABCD is circumscribed about a circle. Discover and prove a relationship between AB+DC and AD+BC.

a. Given:WZ炉is a diameter of 鈯�o;OX炉鈭�ZY炉

Prove: WX铃�鈮�XY铃�.

(Hint: draw OY铃�.)

a. Draw a three large circles and inscribe a different shaped quadrilateral ABCDin each.

b. Use a protractor to measure all the angles.

c. Compute m鈭�A+m鈭�C and m鈭�B+m鈭�D..

d. What is the relationship between opposite angles of an inscribed quadrilateral?
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