CBSE Class 9 Answered
THE SIDES OF A TRIANGULAR PLOT ARE IN THE RATIO 3:5:7 AND PERIMETER IS 300M. FIND ITS AREA BY HERONS FORMULA
Asked by saksham aggarwal | 12 Apr, 2013, 11:16: PM
Expert Answer
Let the sides of the triangle be 3x, 5x and 7x repsectively and since the perimeter is 300m
So, 3x + 5x + 7x=300
15x=300
x=300/15
x=20 m
so,length of one side=60 m
length of second side=100 m
and length of third side=140 m
Now perimeter=300m
therefore semi-perimeter=150 metre
now according to herons formula -
Area = root 150* (150-60) * (150-100) * (150-140)
= root 150 * 90 * 50 * 10
= root 30*5 * 30*3 * 5*10 *10
= root 30^2 * 5^2 * 10^2 *3
= 30 * 5 * 10 * root 3
= 1500 root 3
Answered by | 12 Apr, 2013, 11:29: PM
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