2002
Mathematics
67ca00ce0c643c71d77dee1f
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
A.
54 cm2
B.
45 cm2
C.
27 cm2
D.
75 cm2
Correct Answer: 54 cm2
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
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 = 54cm2THIS WEEK's
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