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JAMB Mathematics 2009 Question 27

Question 27

Mensuration of Plane Shapes

If the hypotenuse of a right-angled isosceles triangle is 2 cm, what is the area of the triangle?

  1. A.1/√2 cm2
  2. B.1 cm2
  3. C.√2 cm2
  4. D.2√2 cm2
Show the answer and explanation

Answer: B (1 cm2)

Explanation

Each equal side x satisfies 2x2 = 4, so x = √2. Area = ½ × √2 × √2 = 1 cm2.