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SUFFICIENT conditions for Special Right triangle

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Joined: 24 Jun 2017
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SUFFICIENT conditions for Special Right triangle [#permalink]

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New post 11 Aug 2017, 19:06
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If AD is 6, and ADC is a right angle, what is the area of triangular region ABC?

(1) Angle ABD = 60°

(2) AC = 12

After getting this question wrong (above), I realized I still do not distinguish what conditions are SUFFICIENT for assuming that a triangle is a 30-60-90 triangle and what conditions show that the triangle COULD be a 30-60-90 but I cannot assume it based on the information given.

So what conditions are sufficient for me to assume a triangle is indeed a specific type of triangle?

Thank you!

Kudos [?]: 3 [0], given: 121

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Posts: 246

Kudos [?]: 43 [2], given: 13

Location: Viet Nam
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Re: SUFFICIENT conditions for Special Right triangle [#permalink]

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New post 11 Aug 2017, 21:15
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giuliab3 wrote:
If AD is 6, and ADC is a right angle, what is the area of triangular region ABC?

(1) Angle ABD = 60°

(2) AC = 12

After getting this question wrong (above), I realized I still do not distinguish what conditions are SUFFICIENT for assuming that a triangle is a 30-60-90 triangle and what conditions show that the triangle COULD be a 30-60-90 but I cannot assume it based on the information given.

So what conditions are sufficient for me to assume a triangle is indeed a specific type of triangle?

Thank you!


Does the question specify where B is located with respect to ADC?
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Kudos [?]: 43 [2], given: 13

Intern
Intern
avatar
B
Joined: 24 Jun 2017
Posts: 20

Kudos [?]: 3 [0], given: 121

Location: Singapore
Schools: INSEAD Jan '19
GMAT 1: 650 Q38 V37
GPA: 3.83
GMAT ToolKit User CAT Tests
Re: SUFFICIENT conditions for Special Right triangle [#permalink]

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New post 11 Aug 2017, 22:14
HanoiGMATtutor wrote:
giuliab3 wrote:
If AD is 6, and ADC is a right angle, what is the area of triangular region ABC?

(1) Angle ABD = 60°

(2) AC = 12

After getting this question wrong (above), I realized I still do not distinguish what conditions are SUFFICIENT for assuming that a triangle is a 30-60-90 triangle and what conditions show that the triangle COULD be a 30-60-90 but I cannot assume it based on the information given.

So what conditions are sufficient for me to assume a triangle is indeed a specific type of triangle?

Thank you!


Does the question specify where B is located with respect to ADC?


It´s the problem discussed in this link: https://gmatclub.com/forum/if-ad-is-6-a ... 01200.html

Kudos [?]: 3 [0], given: 121

Manager
Manager
User avatar
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Joined: 24 Jun 2016
Posts: 246

Kudos [?]: 43 [0], given: 13

Location: Viet Nam
Schools: Booth '19
GMAT 1: 770 Q60 V60
GPA: 4
Re: SUFFICIENT conditions for Special Right triangle [#permalink]

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New post 11 Aug 2017, 22:27
giuliab3 wrote:
HanoiGMATtutor wrote:
giuliab3 wrote:
If AD is 6, and ADC is a right angle, what is the area of triangular region ABC?

(1) Angle ABD = 60°

(2) AC = 12

After getting this question wrong (above), I realized I still do not distinguish what conditions are SUFFICIENT for assuming that a triangle is a 30-60-90 triangle and what conditions show that the triangle COULD be a 30-60-90 but I cannot assume it based on the information given.

So what conditions are sufficient for me to assume a triangle is indeed a specific type of triangle?

Thank you!


Does the question specify where B is located with respect to ADC?


It´s the problem discussed in this link: https://gmatclub.com/forum/if-ad-is-6-a ... 01200.html


Got it. A triangle is defined when you know two angles and the side in between, two sides and the angle in between, or all 3 sides. Obviously, when you know two angles, you also know the third one, and in a right triangle, once you know two sides, you also know the third one. See you if these hints help you make sense of the problem. :wink:
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Offering top quality online and offline GMAT tutoring service in Vietnam, Southeast Asia, and worldwide.

$50/hour as of February 2017.


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Re: SUFFICIENT conditions for Special Right triangle [#permalink]

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New post 12 Aug 2017, 01:20
giuliab3 wrote:
If AD is 6, and ADC is a right angle, what is the area of triangular region ABC?

(1) Angle ABD = 60°

(2) AC = 12

After getting this question wrong (above), I realized I still do not distinguish what conditions are SUFFICIENT for assuming that a triangle is a 30-60-90 triangle and what conditions show that the triangle COULD be a 30-60-90 but I cannot assume it based on the information given.

So what conditions are sufficient for me to assume a triangle is indeed a specific type of triangle?

Thank you!


This question is discussed here: https://gmatclub.com/forum/if-ad-is-6-a ... 01200.html Please continue discussion in that post.
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Re: SUFFICIENT conditions for Special Right triangle   [#permalink] 12 Aug 2017, 01:20
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