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In the diagram below, chords AB and CD are perpendicular

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avuhdaj
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In the diagram below, chords AB and CD are perpendicular [#permalink] New post   Updated on: 29 Jul 2020, 05:08
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In the diagram below, chords AB and CD are perpendicular, and meet at X. If AX = 3,BX = 4,CX = 6,and DX = 2, then find the diameter of the circle.


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\(\sqrt{65}\)

Originally posted by avuhdaj on 28 Jul 2020, 19:13.
Last edited by Carcass on 29 Jul 2020, 05:08, edited 2 times in total.
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Farina
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Re: Help please! Geometry! [#permalink] New post   28 Jul 2020, 22:25
What is the answer??
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Re: Help please! Geometry! [#permalink] New post   28 Jul 2020, 22:34
This question is solved here: https://web2.0calc.com/questions/please-explain-this-question
You can solve this question by plotting a graph based on the numbers given.
The answer is sqrt 65
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Re: Help please! Geometry! [#permalink] New post   29 Jul 2020, 01:56
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No coordinate knowledge geometry is required, but this is still tricky.

See the below figure carefully. Then using Pythagoras theorem, \(d = \sqrt{64 + 1} = \sqrt{65}\)
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Re: Help please! Geometry! [#permalink]
29 Jul 2020, 01:56
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