The length of each side of an equilateral triangle having an area of 4√3 cm2 is_______?
Correct answer: D. 4 cm
- A. 4/3 cm
- B. 3/4 cm
- C. 3 cm
- D. 4 cm
Explanation
The area of an equilateral triangle is (√3/4)s². Setting (√3/4)s² = 4√3 cm² gives s² = 16 cm², so s = 4 cm. Option c, 3 cm, may be chosen by confusing the area formula with the perimeter or altitude relationship.
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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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