If c^2= a^3 + b^2 , write the value of 4s(s-a)(s-b)(s-c) in terms of a and b.
Sampath sriram , 6 Years ago
Grade 11
Magical Mathematics[Interesting Approach]> If c^2= a^3 + b^2 , write the value of 4s...
1 Answers
Arun
Last Activity: 6 Years ago
2s=a+b+c
s=(a+b+c)/2
By Heron's formula
Area=(s(s-a)(s-b)(s-c))1/2
a2+b2=c2
Area=1/2 * a * b
(s(s-a)(s-b)(s-c))1/2=1/2 * a * b
s(s-a)(s-b)(s-c)=a2b2/4
4s(s-a)(s-b)(s-c)=a2b2
s=(a+b+c)/2
By Heron's formula
Area=(s(s-a)(s-b)(s-c))1/2
a2+b2=c2
Area=1/2 * a * b
(s(s-a)(s-b)(s-c))1/2=1/2 * a * b
s(s-a)(s-b)(s-c)=a2b2/4
4s(s-a)(s-b)(s-c)=a2b2
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