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
- 45 cm2
- 27 cm2
- 75 cm2
The correct answer is: A
Explanation
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