two side of triangle are 5 cm and 13 cm and if perimeter is 30 cm the area of the triangle in cm is
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Answered by
13
Answer:
Step-by-step explanation:
According to herons formula - area of a triangle = sqrt(s(s-a)(s-b)(s-c))
where S = perimeter/2
so perimeter = 30
S = 30/2 = 15
a = 5
b = 13
c = 30-(5+13) = 12
Using the formula
Area =
sqrt(15(15-5)(15-13)(15-12))
= sqrt(15(10)(2)(3))
= sqrt(5*3*5*2*2*3) [Splitting each number to its prime factors]
= sqrt(5*3*2*5*3*2)
= sqrt(30*30)
= 30
So are of the triangle = 30cm^2
Answered by
1
Answer:
correct ans: 30cm²
Step-by-step explanation:
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