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The radius is 14 and CD = 22. Find EB.

The radius is 14 and CD = 22. Find EB.-example-1
User Katherina
by
7.8k points

2 Answers

4 votes

Answer:

14 -
√(23)

Explanation:

CD=22 => ED=11

AD=14 (radius). With Pythagorean theorem,
AE^(2)=
AD^(2)-
ED^(2) => AE =
√(23)

EB= AB-AE = 14 -
√(23)

User Graham Griffiths
by
8.5k points
2 votes

The measure of EB from the expression is 5.34

The given diagram is A circle with the following sides

radius AB = 14

CD = 22

From the diagram, AB = AE + EB

Determine the measure of AE using Pythagoras theorem

AD² =AE² + ED²

14² = AE² + 11²

AE² = 14² - 11²

AE² = 196 - 121

AE² = 75

AE = √75

AE = 8.66

EB = AB - AB

EB = 14 - 8.66

EB = 5.34

Hence the measure of EB from the expression is 5.34

User MikNiller
by
8.0k points