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19 Jan 2012, 17:25
Kudos
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A
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Difficulty:
45%
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Question Stats:
55% (01:01) correct
45%
(00:51)
wrong
based on 263
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If the measures of the angle in a triangle are in the ratio of 1:2:3, what is the ratio of the smallest side of the triangle to the largest side?
A. 1:2
B. 1:3
C. 1:5
D. 2:3
E. 2:5
A. 1:2
B. 1:3
C. 1:5
D. 2:3
E. 2:5
19 Jan 2012, 18:08
Kudos
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Splendidgirl666
The measures of the angle in a triangle are in the ratio of 1:2:3 --> \(x+2x+3x=180\) --> \(6x=180\) --> \(x=30\), \(2x=60\) and \(3x=90\). We have a right triangle where the angles are 30°, 60°, and 90°.
Attachment:
Math_Tri_Right3060.png [ 3.64 KiB | Viewed 56131 times ]
Notice that the smallest side (1) is opposite the smallest angle (30°), and the longest side (2) is opposite the largest angle (90°).
So the ratio of the smallest side of the triangle to the largest side is 1/2.
Answer: A.
Check Triangles chapter of Math Book for more on this topic: math-triangles-87197.html
Hope it helps.
