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What is the value of a ?

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What is the value of a ?  [#permalink]

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New post 25 Sep 2019, 00:02
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:46) correct 14% (01:05) wrong based on 51 sessions

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What is the value of a ?  [#permalink]

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New post 25 Sep 2019, 00:41
2
We dont really need a height over there.

The big triangle is a right triangle with hypotenuse 7
Old but GOld Pythagora can help

\(a^2+5^2=7^2\)
\(a=2\sqrt{6}\)

IMO
Ans: B
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Re: What is the value of a ?  [#permalink]

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New post 21 Oct 2019, 05:16
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It's a right angled triangle, will use Pythagoras theorem:

given are height and hypotenuse, need to find out base(b):

\(5^2 + b^2 = 7^2
=> b = 2\sqrt{6}\)

Answer - Option B it is!
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Re: What is the value of a ?  [#permalink]

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New post 21 Oct 2019, 07:46
2
Bunuel wrote:
Image
What is the value of a ?

A. 4

B. \(2 \sqrt{6}\)

C. \(4 \sqrt{6}\)

D. 6

E 24

Attachment:
#greprepclub what is the value of a.jpg


\(a = \sqrt{7^2 - 5^2}\)

Or, \(a = \sqrt{24}\)

Or, \(2 \sqrt{6}\), Answer must be (B)
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Re: What is the value of a ?  [#permalink]

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New post 23 Oct 2019, 18:08
1
Bunuel wrote:
Image
What is the value of a ?

A. 4

B. \(2 \sqrt{6}\)

C. \(4 \sqrt{6}\)

D. 6

E 24

Attachment:
#greprepclub what is the value of a.jpg


Using the Pythagorean theorem, we have:

5^2 + a^2 = (4 + 3)^2

25 + a^2 = 49

a^2 = 24

a = √4 x √6

a = 2√6

Answer: B
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Re: What is the value of a ?  [#permalink]

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New post 24 Jan 2020, 02:11
2
using pythagoras theorem

5^2 + a^2 = (4 + 3)^2

25 + a^2 = 49

a^2 = 24

a = √4 x √6

a = 2√6

answer -> B
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Re: What is the value of a ?   [#permalink] 24 Jan 2020, 02:11
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