Question

(b) In triangle ABC , BL 1 AC, CM1 AB such that BL = CM .To prove: AB = AC .​

Answer 1

Answer:

easy sums

Step-by-step explanation:

Solution

i)

Since,

AB=AC &

BM=CN

⇒AM=AN [SS THEOREM]

ii)

Since,

AB=AC &

AM=AN

∠A=∠A

⇒△AMC≈△ANB    [SAS THEOREM]

iii)

Since,

AB=AC

AM=AN

BM=CN

⇒BN=CM [SSS THEOREM]

iv)

Since,

BM=CN

MC=BN

BC=BC

⇒△BMC≈△CNB  [SSS THEOREM]