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# If AC is perpendicular to BD and AB is perpendic

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Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If AC is perpendicular to BD and AB is perpendic  [#permalink]

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Updated on: 30 Nov 2019, 04:57
2
00:00

Difficulty:

(N/A)

Question Stats:

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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Joined: 28 Feb 2014
Posts: 202
Location: India
GPA: 3.97
WE: Engineering (Education)
Re: If AC is perpendicular to BD and AB is perpendic  [#permalink]

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30 Nov 2019, 02:53
1
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.
Re: If AC is perpendicular to BD and AB is perpendic   [#permalink] 30 Nov 2019, 02:53
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