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The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the

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The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the  [#permalink]

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10 Apr 2019, 00:47
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The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the following triangles is similar to triangle ABC ?

(A) triangle DEF has angles in the ratio 4 : 3 : 2.
(B) triangle PQR has angles in the ratio 1 : 2 : 3.
(C) triangle LMN has angles in the ratio 1 : 1 : 1.
(D) triangle STW has sides in the ratio 1 : 1 : 1.
(E) triangle XYZ has sides in the ratio 4 : 3 : 2.

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Re: The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the  [#permalink]

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10 Apr 2019, 03:14
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Bunuel wrote:
The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the following triangles is similar to triangle ABC ?

(A) triangle DEF has angles in the ratio 4 : 3 : 2.
(B) triangle PQR has angles in the ratio 1 : 2 : 3.
(C) triangle LMN has angles in the ratio 1 : 1 : 1.
(D) triangle STW has sides in the ratio 1 : 1 : 1.
(E) triangle XYZ has sides in the ratio 4 : 3 : 2.

angle ratio is 9x = 180; x= 20
IMO A triangle DEF has angles in the ratio 4 : 3 : 2 has same ratio
IMO A
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Re: The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the  [#permalink]

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13 Apr 2019, 18:54
Bunuel wrote:
The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the following triangles is similar to triangle ABC ?

(A) triangle DEF has angles in the ratio 4 : 3 : 2.
(B) triangle PQR has angles in the ratio 1 : 2 : 3.
(C) triangle LMN has angles in the ratio 1 : 1 : 1.
(D) triangle STW has sides in the ratio 1 : 1 : 1.
(E) triangle XYZ has sides in the ratio 4 : 3 : 2.

The only triangle that is similar to triangle ABC is triangle DEF since the two triangle have angles of the same measure (notice that in a triangle, angle measures in ratio 2 : 3 : 4 is equivalent to 4 : 3 : 2).

Answer: A
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Re: The ratio of the angles in triangle ABC is 2 : 3 : 4. Which one of the   [#permalink] 13 Apr 2019, 18:54
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