find area of triangle 39m,52m,65m by herons formula
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Step-by-step explanation:
s= 39+52+65/2
s= 156/2
s= 78
area = √ s(s-a)(s-b)(s-c)
= √78(78-39)(78-52)(78-65)
=√78(39)(26)(13)
= √1028196
= 1014m²
Answered by
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Answer :-
- Area of Triangle = 1014 sq.m.
Explanation :-
Given : Sides of triangle are 39m, 52m and 65m.
To Find : Area of Triangle.
Solution :
First Let's Calculate Semi Perimeter.
Semi Perimeter = (a + b + c)/2.
Here,
- a = 39 m.
- b = 52 m.
- c = 65 m.
➞ S = (39 + 52 + 65)/2.
➞ S = (91 + 65)/2.
➞ S = 156/2.
➞ S = 78 m.
Now, Let's Calculate Area by Heron's Formula.
Formula Used :-
Area = √s(s - a)(s - b)(s - c).
➞ Area = √78(78 - 39)(78 - 52)(78 - 65).
➞ Area = √78(39)(26)(13).
➞ Area = √3042 × 338.
➞ Area = √1028196.
➞ Area = 1014 sq.m.
Therefore, Area of Triangle = 1014 sq.m.
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