Principle of Mathematical Induction

Principle of Mathematical Induction

Question

In triangle ABC, if a = 18, b = 24, c = 30, find tan straight A over 2


Answer

Using  space space tan straight A over 2 space equals space square root of fraction numerator left parenthesis straight s minus straight b right parenthesis space left parenthesis straight s minus straight c right parenthesis over denominator straight s left parenthesis straight s minus straight a right parenthesis end fraction end root                                     ...(i)
Where s is the semi-perimeter of the triangle
Now,                        straight s equals fraction numerator 18 plus 24 plus 30 over denominator 2 end fraction equals 36
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#6 {main}</pre>

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