JAMB Mathematics 1994 Question 32

Question 32

Triangles and Quadrilaterals

In the diagram above, find h

Diagram for this question
  1. A.12/7 cm
  2. B.12/7 √6cm
  3. C.7/12 cm
  4. D.½ √51cm
Show the answer and explanation

Answer: B (12/7 √6cm)

Explanation

Heron's formula: s = (6 + 5 + 7)/2 = 9 and area = √(9 × 3 × 4 × 2) = 6√6. Area = ½ × 7 × h, so h = 12√6/7 cm.