the side of triangle are 10 cm , 12 cm and 18 cm then its semi perimeter or value of are
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Given :
abc is a triangle.
Side a = 10 cm
Side b = 12 cm
Side c = 14 cm
Find the semi perimeter (s) of triangle :-
s = (a+b+c)/2 unit
= (10+12+14)/2 cm
= 36/2 cm = 18 cm
Find the area of triangle by using the heron's formula :-
Area of triangle = 24√6 cm²
\begin{gathered}area = \sqrt{s(s - a)(s - b)(s - c) } \\ \\ = \sqrt{18(18 - 10)(18 - 12)(18 - 14)} \\ \\ = \sqrt{18 \times 8 \times 6 \times 4} \\ \\ = \sqrt{2 \times 3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 3 \times 2 \times 2} \\ \\ = 2 \times 2 \times 2 \times 3 \times \sqrt{2 \times 3} \\ \\ = 24 \sqrt{6} \end{gathered}
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Answer:
15 becausethe original perimter is 30 and semi then 15
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