find the area of an equilateral triangle whose sides are 5 cm, 7cm and 9cm.
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Answer:
P = A+B+C
P = 5+7+9
P = 19cm
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first of all if its an equilateral triangle then all the sides will be equal
Assuming that its an ordinary triangle,
a=5cm, b=6cm, c= 7cm
Therefore,
Semiperimeter= (a+b+c)/2
= (5+6+7)/2
= 18/2
= 9
By Heron's formula,
Area of triangle = √{s(s-a)(s-b)(s-c)}
= √{9(9-5)(9-6)(9-7)}
= √(9*4*3*2)
= 3*2√(3*2)
= 6√6cm^2
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