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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? - Mathematics

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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Solution

Given: JKLM is a square with sides of length 6units. Points A and B are the midpoints of sides KL and ML respectively. If a point is selected at random from the interior of the square

To find: Probability that the point will be chosen from the interior of ΔJAB.

We the following figure

Area of square JLKM is equal to

= `6^2`

= 36 sq units

Now we have

`area(triangleKAJ)= 1/2xxAKxxKJ`

`=1/2xx3xx6`

=9 units2

`area(triangleJMB)=1/2xxJMxxBM`

`=1/2xx6xx3`

=9/2 units2

Now area of the triangle AJB

`area(triangleAJB) = 36-9-9-9/2`

=`27/2`units2

We know that Probability

=`"Number of favourable event"/"Total number of event"`

`= (27/2)/36`

`= 27/(2xx36)`

`= 3/8`

Hence the Probability that the point will be chosen from the interior of ΔAJB is `3/8`.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.2 | Q 5 | Page 33
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