CBSE Class 9 Answered
prove that
Asked by priyankmalukar | 08 Sep, 2009, 10:51: PM
Expert Answer
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Given: 
ABC is an isoceles triangle with AB = AC
AD = AB
To prove: 
BCD = 900
Proof: AB = AC ...(1)
⇒ ABC = ACB (angle opposite to equal sides)
we have, AD = AB
⇒ AD = AC (from (1))
⇒ ACD = ADC (angle opposite to equal sides)
Let ABC = ACB = ACD = ADC = x
Now in BDC
By angle sum property,
DBC + DCB + BDC = 1800
DCB = DCA+ACB = x+x = 2x
So, DBC + DCB + BDC = x + 2x + x =1800
⇒ x = 450
Therefore, BCD = 900
x+
Answered by | 09 Sep, 2009, 09:27: AM
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