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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Given that m A : m B : m C = 2 : 4 : 3 in circle O :

a) Which angle is largest?

b) Which chord is longest?

(NOTE: See the figure for Exercise 26.)

Chapter 6.4, Problem 29E, Given that mA:mB:mC=2:4:3 in circle O: a Which angle is largest? b Which chord is longest? NOTE: See

To determine

(a)

To find:

The largest angle.

Explanation

Given:

mA:mB:mC=2:4:3 in circle O. The figure given below,

Theorem Used:

In a circle (or in congruent circles) containing two unequal arcs, the larger arc corresponds to the larger central angle.

Calculation:

Since, mA:mB:mC=2:4:3 and the sum of the angles of a triangle is 180°, we get

mA+mB+mC=180°

Or 2x+4x+3x=180°

So

To determine

(b)

To find:

The longest chord.

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