Splendidgirl666 wrote:
Hi,
can someone help with this one please?
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?
1. 1:2
2. 1:3
3. 1:5
4. 2:3
5. 2:5
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 563 times ]
This is one of the 'standard' triangles you should be able recognize on sight. A fact you should commit to memory is: The sides are always in the ratio
1:\sqrt{3}:2.
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.htmlHope it helps.
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