Question

In the diagram, line a is the perpendicular bisector of KM.

What is the length of KM?

22 units
40 units
44 units
80 units

Answer 1

THE ANSWER IS D 80 UNITS

Explanation:

Answer 2

Length of KM is:

80 units

Explanation:

since, line a is a perpendicular bisector of KM

this implies that:

∠NLM=∠NLK=90°

and KL=LM

By SAS property, ΔNLK and ΔNLm are similar

(NL side is common in both, ∠NLK=∠NLM and KL=LM)

Hence,
`(NK)/(NM)=(KL)/(LM)\\\\\\(9x-5)/(7x+7)= (6x+4)/(6x+4) \\\\\\(9x-5)/(7x+7)=1\\ \\\\9x-5=7x+7\\\\x=6`

Hence, Length of KM=KL+LM

=6x+4+6x+4

=12x+8

=12×6+8

= 80 units