Question

. A and B are points on the sides KL and KM of triangle KLM. KM - 21 cm, KL - 18 cm and KA-
12 cm. Show that AB is parallel to LM.
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Answer 1

Step-by-step explanation:

let KB = x

so, MB = 21- x

Now, by B.P.T.

KB/BM = KA/AL

So, x/21-x = 12/8

cross multiplying,

we get,. 18x = 252 - 12x

solving futher, we get,.

30x = 252

x = 252/30

= 8.4

so, KB = x = 8.4 , BM = 21 - 8.4 = 12.6

now, 8.4/12.6 = 12/18. (by B.P.T.)

0.66(approx) = 0.66(approx)

So, both are equal. Hence be converse of B.PT.

AB ll ML

(Hence proved)