What is the value of b? 22.5 11.25 12 6

Mathematics

2 answers:

Helen [10]3 years ago

7 0

11.25 seems to be the answer they want, despite the lack of important information.

Rus_ich [418]3 years ago

7 0

Answer:

11.25

Step-by-step explanation:

The perpendicular drawn on chord passes through the center of a circle divides the chord in to two equal parts

Refer the attached figure

So, By theorem AB = BC and DE = EF

In ΔFEO and ΔCBO

OE = OB(Given )

FO=CO(Radius of circle) (Hypotenuse of right angled triangle)

∠OEF=∠OBC =90°(right angle)

So, ΔFEO ≅ ΔCBO By RHS property

So, EF=BC(corresponding parts of congruent triangles are congruent)

BC = $\frac{1}{2} AC =\frac{1}{2} (22.5)=11.25$

So, EF=11.25

So, Value of b is 11.25

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