1.

In the Fig. below, JKLM is a square with sides of length 6 units. Points A and B are the mid- points of sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of ΔJAB?

Answer»

Length of side of square JKLM = 6 cm

Area of square JKLM = 62 = 36 cm2

Since A & B are the mid points of KL & LM

KA = AL = LB = LM = 3 cm

Area of Δ AJB = area of square – area of Δ AKJ – area of Δ ALB – area of Δ BMJ

= 36−(1/2)x6x3 − (1/2)x6x3

= 36 − 9 − 4.5 − 9

= 13.5 sq. units

Probability that the point will be chosen from the interior of ΔAJB = (Area of ΔAJB)/(Area of square)



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