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OG2015 DS In triangle PQR, if

This topic has 1 expert reply and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

OG2015 DS In triangle PQR, if

Post Sat Sep 16, 2017 2:19 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    In triangle PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of triangle PQR has the greatest degree measure?

    (1) y = x+ 3
    (2) x = 2

    OA: A

    Hi, Experts! Please share the solution to this problem. Thank you.

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    Post Sat Sep 16, 2017 5:10 am
    lionsshare wrote:
    In triangle PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of triangle PQR has the greatest degree measure?

    (1) y = x+ 3
    (2) x = 2

    OA: A

    Hi, Experts! Please share the solution to this problem. Thank you.
    An important property of a triangle:

    The shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

    Statement 1: y = x+ 3

    => PR = x + 3 is the longest side, hence the angle PQR opposite of side PR is greatest. Sufficient.

    Statement 2: x = 2

    => PQ = x = 2 and QR = x + 2 = 4

    The value of PR = y is indeterminable. So, we cannot determine which side is the longest QR or PR, thus the determination of the greatest angle is not possible. Not sufficient.

    The correct answer: A

    Hope this helps!

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