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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? |
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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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