XYZ is a right angles triangle with X=90, XY 9cm and YZ 12 CM. OX is perpendicular to YZ find OX
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Answer:
OX = 9√7 / 4 cm
Step-by-step explanation:
XYZ is a right angled triangle with X=90°, XY=9cm, and YZ=12cm
(YZ)² = (XY)² + (XZ)²
=> 12² = 9² + (XZ)²
=> 144 = 81 + (XZ)²
=> 63 = (XZ)²
=> XZ = √63
=> XZ = 3√7 cm
Area of Triangle ΔXYZ = (1/2)XY * XZ = (1/2)YZ*OX
=> XY *XZ = YZ * OX
=> 9 * 3√7 = 12 * OX
=> 9√7 / 4 = OX
OX = 9√7 / 4 cm
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