Question

if the length of three sides of a triangle is 25cm,20cm and 15cm then find the area of the triangle?​

Answer 1

Formula used :

$\boxed{{A \:=}\sqrt{s(s﹣a)(s﹣b)(s﹣c)}}$

s = $\frac{a+b+c}{2}$

Solving for A :

${A\: =\frac{1}{4}\sqrt{-a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴}}$

${=> \:\frac{1}{4}\sqrt{﹣254+2·(25·20)²+2·(25·15)²﹣20⁴+2·(20·15)²﹣15⁴}}$

=> 150cm²

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