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If AC is perpendicular to BD and AB is perpendic

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If AC is perpendicular to BD and AB is perpendic  [#permalink]

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New post Updated on: 30 Nov 2019, 04:57
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55% (03:28) correct 45% (03:15) wrong based on 11 sessions

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If AC is perpendicular to BD and AB is perpendicular to AD What is the value of CD if AC = 8 and BC = 6 ?

A)35
B) 35/3
C)40
D)40/3
E)45\(\sqrt{2}\)

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Originally posted by KSBGC on 30 Nov 2019, 01:24.
Last edited by KSBGC on 30 Nov 2019, 04:57, edited 1 time in total.
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Re: If AC is perpendicular to BD and AB is perpendic  [#permalink]

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New post 30 Nov 2019, 02:53
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KSBGC wrote:
If AC is perpendicular to BD and AB is perpendicular to AD What is the value of CD if AC = 8 and BC = 6 ?

A)35
B) 35/2
C)40
D)40/3
E)45\(\sqrt{2}\)

AB = 10 (pythagoreous triplet)

Applying similar triangle identity

BC/AB = AB/BD
6/10 = 10/(6+x)
36 + 6x = 100
x = 32/3

KSBGC Kindly check the options.
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Re: If AC is perpendicular to BD and AB is perpendic   [#permalink] 30 Nov 2019, 02:53
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If AC is perpendicular to BD and AB is perpendic

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