Question

find area of triangle using herons formula for sides 50cm,20cm,50cm​

Answer 1

the answer is 50 cm

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Answer 2

Question:-

• Find area of triangle using herons formula for sides 50cm,20cm,50cm.

Required formula:-

• $A = \sqrt{s(s-a)(s-b)(s-c)}$

Given:-

• a = 50 , b= 20, c= 50 , s= a

Solution:-  

$A = \frac{1}{4} \sqrt{-a^{4}+ 2(ab)^{2}+2(ac)^{2} -b^{4}+2(bc)^{2} -c^{4} }$

$= \frac{1}{4} \sqrt{ -50^{4} + 2(1000)^{2} +2 (2500)^{2} -20^{4}+2(1000)^{2}-50^{4} }$

$= 489.9 cm^{2}$

Answer:-

• Hence, the answer is 489.9 $cm^{2}$.