the side of a triangle is 3,5,6,what is it area
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p = sum of sides of triangle
Let the common constant be x
Therefore, sides of triangle 3x 5x 6x
3x + 5x + 6x = 70 m ( given )
14x = 70
x = 5
semi perimeter = 70 / 2 = 35
area of triangle = \sqrt{s(s-a)(s-b)(s-c)}
s(s−a)(s−b)(s−c)
\sqrt{35 (35- 15) ( 35- 25) (35- 30)}
35(35−15)(35−25)(35−30)
= \sqrt{35(20)(10)(5)}
35(20)(10)(5)
=\sqrt{35000}
35000
= 50 \sqrt{14}
14
m
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