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- If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.
Q: 10 If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.
Answers (1)
M
mansi
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Given: circles are drawn taking two sides of a triangle as diameters.
Construction: Join AD.
Proof: AB is the diameter of the circle and
ADB is formed in a semi-circle.
Similarly,
AC is the diameter of the circle and
ADC is formed in a semi circle.
From 1 and 2, we have
Hence, point D lies on this side.