plzzz ans......MENSURATION.....TRIANGLES.....QUESTION 9 SECOND PART
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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
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
fardeenknobi:
where?
3x+5x+7x=300 giving x=20 so
the sides are 60, 100, 140 m
You can find the area using Heron's formula,
sqrt(s(s-a)(s-b)(s-c), where s=semi-perimeter.
This gives sqrt(150X90X50X10)=2598.076211 m^2
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