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MATHEMATICS

JAMB 2003 - Question 45

Mathematics 2003 JAMB Past Questions - Question 45: 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

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

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Correct Answer

Explanation

o (< semi circle )since radius = 15/2 diameter = 2 * (15/2) = 15cmXYZ is a right angled triangle∴ 152 = 122 + (YZ)^2225 = 144 = (YZ)^2225 - 144 = (YZ)^281 = (YZ)^2√81 = YZ9 = YZArea of ΔXYZ = 1/2bh(1/2) * 9 * 129 * 6 = 54= 54cm^2