Question

please can I get the answer

Answer 1

a tangent line on circle make right angel with the radius on that point so what we are viewing is a right angel triangle so we can use Pythagoras formula as stated that LN²=MN²+LM²
or LM²=LN²-MN²
or LM²=(50)²- (14)²
or LM²=(50+14)(50-14) [a²-b²=(a+b)(a-b)]
or LM²=64*36
or LM=√(64*36)
or LM=8*6
or LM=48...............(ans)