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Unilorin Post-UTME Mathematics 2015 (Model questions) Question 28

Question 28

Triangles and Quadrilaterals

Figure above shows the lengths of the sides of an equilateral triangles in centimeters. Find the values of x and y.

Diagram for this question
  1. A.x = 5, y = 3
  2. B.x = 5, y = 2
  3. C.x = 6, y = 2
  4. D.x = 5, y = 4
Show the answer and explanation

Answer: B (x = 5, y = 2)

Explanation

All sides are equal: 2x − 1 = x + 2y and x + 2y = 3y + 3 give x − 2y = 1 and x − y = 3, so y = 2 and x = 5.