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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.
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Given,
Two circles are drawn on the sides and of the triangle
as diameters. The circles intersected at .
Construction: is joined.
To prove: lies on . We have to prove that is a straight line.
Proof:
...Angle in the semi circle
Now,
is straight line.
Thus, lies on the .
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| Question Text | 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. |
| Answer Type | Text solution:1 |
| Upvotes | 150 |
