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Which of following indicates that ∆ABC is a right triangle?
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19 Mar 2019, 10:49
19 Mar 2019, 10:49
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Which of following indicates that \(∆ABC\) is a right triangle?
(I) The angles of \(∆ABC\) are in the ratio 1 : 2 : 3.
(II) One of the angles of \(∆ABC\) equals the sum of the other two angles.
(III) \(∆ABC\) is similar to the right triangle \(∆DEF\).
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
(I) The angles of \(∆ABC\) are in the ratio 1 : 2 : 3.
(II) One of the angles of \(∆ABC\) equals the sum of the other two angles.
(III) \(∆ABC\) is similar to the right triangle \(∆DEF\).
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
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Re: Which of following indicates that ∆ABC is a right triangle?
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20 Mar 2019, 05:34
20 Mar 2019, 05:34
2
Carcass wrote:
Which of following indicates that \(∆ABC\) is a right triangle?
(I) The angles of \(∆ABC\) are in the ratio 1 : 2 : 3.
(II) One of the angles of \(∆ABC\) equals the sum of the other two angles.
(III) \(∆ABC\) is similar to the right triangle \(∆DEF\).
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
(I) The angles of \(∆ABC\) are in the ratio 1 : 2 : 3.
(II) One of the angles of \(∆ABC\) equals the sum of the other two angles.
(III) \(∆ABC\) is similar to the right triangle \(∆DEF\).
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
(I) The angles of ∆ABC are in the ratio 1 : 2 : 3.
We know that the 3 angles in a triangle must add to 180°
So, if we divide 180° into the ratio 1 : 2 : 3, we get: 30° : 60° : 90°, which means we have a right triangle.
Statement I is true
ELIMINATE B and C
Scan the remaining answer choices...since D and E both have II, let's jump to statement III
(III) ∆ABC is similar to the RIGHT triangle ∆DEF.
Similar triangles have the same 3 angles.
So, if ∆DEF is a RIGHT triangle, then ∆ABC must also be a RIGHT triangle.
Statement III is true
ELIMINATE A and D
By the process of elimination, the correct answer is E
Cheers,
Brent
Re: Which of following indicates that ABC is a right triangle?
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13 Aug 2022, 06:26
13 Aug 2022, 06:26
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
