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AB=12, AC=30, and AD= 2/5(AC).

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AB=12, AC=30, and AD= 2/5(AC). [#permalink] New post 05 Dec 2017, 12:39
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Question Stats:

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Attachment:
triangle.jpg
triangle.jpg [ 12.35 KiB | Viewed 514 times ]


AB=12, AC=30, and AD= 2/5(AC).

Quantity A
Quantity B
The measure of angle BDC
120°


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
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Re: AB=12, AC=30, and AD= 2/5(AC). [#permalink] New post 06 Dec 2017, 08:53
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Carcass wrote:
Attachment:
triangle.jpg


AB=12, AC=30, and AD= 2/5(AC).

Quantity A
Quantity B
The measure of angle BDC
120°


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

[Reveal] Spoiler: OA
OA in 24h


Here

AD = 2/5 * AC
= 2/5 * 30 =12

Now in Trinagle ABD

AB =AD = 12

Hence the angle are also equal i.e angle ABD = angle ADB = 45 (since given angle a = 90 degree)

Now angle BDC = 180 - angle ADB

= 180 - 45 =135

Hence option A > B
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Re: AB=12, AC=30, and AD= 2/5(AC).   [#permalink] 06 Dec 2017, 08:53
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AB=12, AC=30, and AD= 2/5(AC).

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