College of Admission Tests Multan

Height and Distances

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

An equilateral triangle has a side length of 4. What is its height?
  • 2 2
  • 2 3
  • 4
  • 16
  • 2

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Correct Answer: B

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If an equilateral triangle is divided in 2, it forms two 30-60-90 triangles. Therefore, the side of the equilateral triangle is the same as the hypotenuse of a 30-60-90 triangle. The side lengths of a 30-60-90 triangle adhere to the ratio x: x 3 :2x. since we know the hypothesis is 4, we also know that the base is 2 and the height is 2 3 .