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The altitude of an equilateral triangle of side 2√3 cm is_________?

Correct answer: D. 3 cm

  • A. 3/2 cm
  • B. 1/2 cm
  • C. 3/4 cm
  • D. 3 cm

Explanation

The altitude of an equilateral triangle is (√3/2) x side. Substituting the side 2√3 cm gives altitude = (√3/2) x 2√3 cm = 3 cm. Option a, 3/2 cm, comes from losing one factor of 2 during simplification.

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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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