In ABC- if r-1- R-3- and s-5- then the value of a2-b2-c2-3 is-

Given nbsp; r=1, R=3 , and s=5 We have abc=4Rrs ⇒ abc=60 Also, s=5 a+b+c=10 ⇒ a^2+b^2+c^2+2(ab+bc+ca)=100 ...

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Thermal Expansion

In ABC, if ...

Question

In $△ A B C,$ if $r = 1, R = 3$ , and $s = 5$ , then the value of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is____________.

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A B C

r = 1, R = 3

s = 5,

△ A B C, a^{2} + b^{2} + c^{2} = 8 R^{2},

R =

A B C,

tan A : tan B : tan C = 1 : 2 : 3

a^{2} : b^{2} : c^{2} =

\in R^{+}

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} - \frac{z^{2}}{c^{2}} = 1

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} = 1

- \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} = 1

△ A B C,

2 △^{2} = \frac{a^{2} b^{2} c^{2}}{a^{2} + b^{2} + c^{2}}

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