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Question
In the given figure, AB>AC. Then, which of the following is true?
(a) AB < AD
(b) AB = AD
(c) AB > AD
(d) Cannot be determined
In the given figure, AB>AC. Then, which of the following is true?
(a) AB < AD
(b) AB = AD
(c) AB > AD
(d) Cannot be determined
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Solution
ANSWER:
(c) AB > AD
AB>AC is given.∴ ∠ACB>∠ABC
Now, ∠ADB>∠ACD
(exterior angle)⇒∠ADB>∠ACB>∠ABC⇒∠ADB>∠ABD⇒AB>AD
(c) AB > AD
AB>AC is given.∴ ∠ACB>∠ABC
Now, ∠ADB>∠ACD
(exterior angle)⇒∠ADB>∠ACB>∠ABC⇒∠ADB>∠ABD⇒AB>AD
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