Question
Prove that if chords of congruent circles subtend equal angles their centres, then the chords are equal.
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Text solutionVerified
Take two congruent circles, and let their centres be and
Let, the chords making equal angles at centres be and respectively for two circles.
Let the radius of both circles be .
We know that .
Since, , we get,
.
So, we get .
So, by congruency, we get triangle is congruent to triangle .
, which implies that the length of chords are equal.
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Question Text | Prove that if chords of congruent circles subtend equal angles their centres, then the chords are equal. |
Answer Type | Text solution:1 |
Upvotes | 150 |