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Grade 20 Geometry
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Triangle Properties -Medians and Altitudes of a Triangle
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Question: In a right angled triangle, the median drawn onto the hypotenuse is
A ) the inradius of the triangle
B ) the circum radius of the triangle
C ) equal to half of the hypotenuse
D ) perpendicular to the hypotenuse
Steps to derive
1
Let R be the circumradius.
2
So, the median drawn onto the hypotenuse is the circumradius of the triangle.
Hence the right answer is Option B
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