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The product of difference of semi-perimeter and respective sides of △ABC are given as 13200 m3. The area of △ABC, if its semi-perimeter is 132m, is given by
- a)132 m2
- b)13200 m2
- c)1320 m2
- d)20√33 m2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The product of difference of semi-perimeter and respective sides of ...
Solution:-
Given :- s = 132 cm and (s-a)(s-b)(s-c) = 13200 cm^2
Therefore, according to the Heron's formula,
Area of the triangle =
root s(s-a)(s-b)(s-c)
Now, substituting the values, we get
Area = √132�13200
=root 132�132�100
=
root132�132�10�10
Area of the triangle = 132�10
Area = 1320 cm^2
Most Upvoted Answer
The product of difference of semi-perimeter and respective sides of ...
Let the sides of triangle ABC be a, b, and c, and let s be its semi-perimeter.
Given that the product of the difference of the semi-perimeter and respective sides is 13200m^3, we can write the following equations:
(a-s)(b-s)(c-s) = 13200
We are also given that the semi-perimeter of ABC is 132m, so we can substitute s = 132 into the equation:
(a-132)(b-132)(c-132) = 13200
To find the area of triangle ABC, we can use Heron's formula:
Area = sqrt(s(s-a)(s-b)(s-c))
Since s = 132, we have:
Area = sqrt(132(132-a)(132-b)(132-c))
To find the area, we need to know the values of a, b, and c. However, the given information does not provide enough information to determine the exact values of a, b, and c. Therefore, we cannot determine the exact area of triangle ABC.
The answer is: We cannot determine the exact area of triangle ABC.
Given that the product of the difference of the semi-perimeter and respective sides is 13200m^3, we can write the following equations:
(a-s)(b-s)(c-s) = 13200
We are also given that the semi-perimeter of ABC is 132m, so we can substitute s = 132 into the equation:
(a-132)(b-132)(c-132) = 13200
To find the area of triangle ABC, we can use Heron's formula:
Area = sqrt(s(s-a)(s-b)(s-c))
Since s = 132, we have:
Area = sqrt(132(132-a)(132-b)(132-c))
To find the area, we need to know the values of a, b, and c. However, the given information does not provide enough information to determine the exact values of a, b, and c. Therefore, we cannot determine the exact area of triangle ABC.
The answer is: We cannot determine the exact area of triangle ABC.
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