The sides of a triangle are in the ratio ½: 1/3: ¼. If the perimeter is 52cm then the length of the smallest side is________?
Correct answer: D. 12cm
- A. 9cm
- B. 10cm
- C. 11cm
- D. 12cm
Explanation
The ratio sum is 1/2 + 1/3 + 1/4 = 13/12. One ratio unit is therefore 52 cm ÷ (13/12) = 48 cm, and the smallest side is 1/4 × 48 cm = 12 cm. The likely trap is 9 cm, which comes from treating the fractional ratios as if their sum were 1 instead of 13/12.
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About Triangles and Angles
Triangles and angles involve angle pairs, vertically opposite angles, parallel lines, triangle angle sums, exterior angles, congruence, similarity, and the Pythagorean theorem. Questions also test properties of isosceles and equilateral triangles, with similarity focusing on proportional sides while congruence requires identical size and shape.
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