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# QOTD#29 If the smallest angle of a triangle measures 45

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CEO
Joined: 07 Jun 2014
Posts: 2549
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 734 [0], given: 127

QOTD#29 If the smallest angle of a triangle measures 45 [#permalink]  31 May 2017, 06:31
Expert's post
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Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If the smallest angle of a triangle measures 45 degrees, which of the following could be the ratio of the three angles of the triangle?

Indicate the all the options possible

A. 2:3:3
B. 3:4:5
C. 3:5:7
D. 9:10:17
E. 9:11:13
F. 15:17:18

[Reveal] Spoiler: OA
A, B, D

Drill 2
Question: 9
Page: 342

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Sandy
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Intern
Joined: 23 Mar 2017
Posts: 9
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Kudos [?]: 10 [1] , given: 1

Re: QOTD#29 If the smallest angle of a triangle measures 45 [#permalink]  14 Jun 2017, 23:22
1
KUDOS
Fixed!
CEO
Joined: 07 Jun 2014
Posts: 2549
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 41

Kudos [?]: 734 [1] , given: 127

Re: QOTD#29 If the smallest angle of a triangle measures 45 [#permalink]  02 Jul 2017, 14:44
1
KUDOS
Expert's post
Explanation

The first part of each ratio represents 45 degrees.
For choice(A), the multiplier will be 45 divided by 2, or 22.5. The ratio adds up to 8 (2 + 3 + 3), so check that 8 × 22.5 = 180. It does, so choice (A) works.

For choice (B), based on 3 representing 45 degrees, the multiplier is 15. The ratio adds up to 12, and 12 × 15 = 180, so this choice works as well.
Using this approach, choice (C) does not work: The multiplier is again 15, but 15 × 15 does not equal 180.

Choice (D) works, with a multiplier of 5: 5 × 36 = 180. When you test the remaining two choices, neither one produces the 180 degrees you need for the triangle, so eliminate them.

Hence options A, B and D are correct!
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Sandy
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Re: QOTD#29 If the smallest angle of a triangle measures 45   [#permalink] 02 Jul 2017, 14:44
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