if median of triangle are 5 cm 6cm and 7cm then find area of this triangle.


2 years ago

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                                        Ans:Let the median length be m1, m2& m3. Then area of triangle A is:$A = \frac{4}{3}\sqrt{S(S-m_{1})(S-m_{2})(S-m_{3})}$where S is$S= \frac{m_{1}+m_{2}+m_{3}}{2}$$S= \frac{5+6+7}{2} = 9$$A = \frac{4}{3}\sqrt{S(S-m_{1})(S-m_{2})(S-m_{3})}$$A = \frac{4}{3}\sqrt{9(9-5)(9-6)(9-7)}$$A = \frac{4}{3}\sqrt{9.4.3.2}$$A = 8\sqrt{6}$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

6 months ago

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