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Use the information below to work out the length of BD to 1 d.p.

AC = 22 mm
0E = 6 mm
Give reasons for your answer.

Use the information below to work out the length of BD to 1 d.p. AC = 22 mm 0E = 6 mm-example-1

1 Answer

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In the figure, the length of BD is 25.1 to 1 d.p.

How to find BD

The length of BD is solved using Pythagoras as follows

From the problem, we now that

BD = diameter of the circle

OC = radius of the circle

And BD = 2 * OC

OC² = OE² + EC²

where EC = 1/2 AC = 1/2 * 22 = 11

OC² = 6² + 11²

OC² = 157

OC = √157

OC = 12.53

BD = 2 * 12.53

BD = 25.06

User Mariz Melo
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