is
The sides of a triangle
are 8cm, llom and 13cm. What
its area?
?
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7
Sides of the triangle = 8 cm(a), 11 cm(b) , 13 cm(c)
Semi perimeter (s) = (a+b+c)/2
s = (8+11+13)/2
s = 32/2
s = 16 cm
According to heron's formula :-
Area = √s(s-a)(s-b)(s-c)
= √16(16-8)(16-11)(16-13)
= √16×8×5×3
When we break the numbers :-
= √2×2×2×2×2×2×2×5×3
And when we will form pairs, and take them outside the root :-
= 2×2×2√2×5×3
Area of the triangle = 8√30 cm²
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