In the diagram above , XZ is the diameter of the circle XZW, with center…

Mathematics JAMB 2002

In the diagram above , XZ is the diameter of the circle XZW, with center O and radius 15/2 cm. If XY = 12 cm, find the area of the triangle XYZ

  • 54 cm2 checkmark
  • 45 cm2
  • 27 cm2
  • 75 cm2

The correct answer is: A

Explanation

o (< semi circle )
since radius = 15/2 diameter = 2 * (15/2) = 15cm
XYZ is a right angled triangle
∴ 152 = 122 + (YZ)2
225 = 144 = (YZ)2
225 - 144 = (YZ)2
81 = (YZ)2
√81 = YZ
9 = YZ
Area of ΔXYZ = 1/2bh
(1/2) * 9 * 12
9 * 6 = 54
= 54cm2
Previous Question Next Question

Leave A Comment