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Grade 20 Geometry
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Triangle Properties -Medians and Altitudes of a Triangle
Question: In a right angled triangle, the orthocenter lies
A ) outside the triangle
B ) at the midpoint of the hypotenuse
C ) inside the triangle
D ) at the vertex containing the right angle
Steps to derive
2
Orthocenter is the point of intersection of the altitudes. Each leg in a right triangle forms an altitude.
3
O is the orthocenter.
Hence the right answer is Option D
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