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  • 25-07-2019
  • Mathematics
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what is the length of chord ab

what is the length of chord ab class=

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absor201
absor201 absor201
  • 25-07-2019

Answer:

AB=20

Step-by-step explanation:

Given:

r= 14.5

AB cuts r=14.5 in two parts one parts length=4

remaining length, x = 14.5 - 4 =10.5

draw a line from center of circle to point A making right angled triangle

Now hypotenuse=r=14.5

and one side of triangle=10.5

Using pythagoras theorem to find the third side:

c^2=a^2+b^2

14.5^2=10.5^2+b^2

14.5^2-10.5^2=b^2

b^2=100

b=10

AB=2b

     =2(10)

     =20

Hence length of cord AB=20!

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