-2-a2-b2-c21-r12-1-r22-1-r32-1-r2-

The correct option is B 1 FORMULA USED IN SOLVING PROBLEM s = a+b+c2 r = #8710;s #160;( #8710; = area of triangle) r^_1 = # ...

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Young's Modulus of Elasticity

Δ2/a2+b2+c21/...

Question

$\frac{Δ^{2}}{a^{2} + b^{2} + c^{2}} {\frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}}} =$

1

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0

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4 R r^{2}

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\frac{1}{r}

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Solution

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The value of $\frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}}$ is

In any $△ A B C, \frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}}$ is equal to

r^{2} + r_{1}^{2} + r_{2}^{2} + r_{3}^{2} = 16 R^{2} - a^{2} - b^{2} - c^{2}

\frac{1}{r^{2}} + \frac{1}{{r_{1}}^{2}} + \frac{1}{{r_{2}}^{2}} + \frac{1}{{r_{3}}^{2}} = \frac{a^{2} + b^{2} + c^{2}}{S^{2}}

△ A B C,

r

R

r_{1}, r_{2}, r_{3}

a, b, c

S

\frac{a^{2}}{r_{1}^{2}} + \frac{b^{2}}{r_{2}^{2}} + \frac{c^{2}}{r_{3}^{2}} = k

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