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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # If the interior angles of a triangle are in the ratio 3 to 4 to 5, wha  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6499 GMAT 1: 760 Q51 V42 GPA: 3.82 If the interior angles of a triangle are in the ratio 3 to 4 to 5, wha [#permalink] ### Show Tags 12 Sep 2018, 01:45 00:00 Difficulty: 25% (medium) Question Stats: 76% (00:26) correct 24% (00:07) wrong based on 21 sessions ### HideShow timer Statistics [Math Revolution GMAT math practice question] If the interior angles of a triangle are in the ratio $$3$$ to $$4$$ to $$5$$, what is the measure of the largest angle? A. $$30^0$$ B. $$45^0$$ C. $$60^0$$ D. $$75^0$$ E. $$90^0$$ _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: If the interior angles of a triangle are in the ratio 3 to 4 to 5, wha  [#permalink]

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12 Sep 2018, 01:49
The sum of the interior angles in a triangle is 180.

Sum of the ratios of the triangle is 3x+4X+5x = 180.

x = 15.

Largest angle is 5x = 5*15 = 75.

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Re: If the interior angles of a triangle are in the ratio 3 to 4 to 5, wha  [#permalink]

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13 Sep 2018, 23:40
=>

Let $$x, y$$ and $$z$$ be interior angles of the triangle.
Since $$x:y:z = 3:4:5$$, we can write $$x = 3k, y = 4k$$ and $$z = 5k$$.
Since the interior angles of the triangle add to $$180^o, x + y + z = 3k + 4k + 5k = 12k = 180^o,$$ and so $$k = \frac{180^o}{12} = 15^o.$$
Therefore, the largest angle of the triangle is $$z = 5k = 5(15) = 75^o.$$

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Re: If the interior angles of a triangle are in the ratio 3 to 4 to 5, wha &nbs [#permalink] 13 Sep 2018, 23:40
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