In the adjoining figure, AABC is an isosceles triangle in which
43 = 4C and AD is a median.
Prove that
() ADB=AADC
(62) BAD = _CAD
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Answer:
△ABD and △ACD
AB=AC (given )
Then ∠ABD=∠ACD ( because AB=AC )
and ∠ADB=∠ADC=90( because AD⊥BC )
∴△ABD=△ACD
∠BAD=∠CAD
It is defective to use ∠ABD=∠ACD for proving this result
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