If r1- r 2- r 3 represent the exradii and r represents the inradius then- 1- r 1-1- r 2-1- r 3-1- r -0A- TrueB- False

The correct option is A Truer_1=Δs a and r=Δs 1r_1+1r_2+1r_3 1r=s aΔ+s bΔ+s cΔ sΔ =3s (a+b+c)Δ sΔ =3s (2s) sΔ=3s 3sΔ=0 ∴ Given statement is true ...

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Ex Radius

If r1, r 2, r...

Question

If $r_{1}, r_{2}, r_{3}$ represent the exradii and r represents the inradius then, $\frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}} - \frac{1}{r}$ = 0

True

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False

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Solution

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Similar questions

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

\frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}} - \frac{1}{r}

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

\frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}} - \frac{1}{r}

△ A B C

a < b < c

r

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

A, B, C

r < r_{1} < r_{2} < r_{3}

△ A B C, r_{1} r_{2} + r_{2} r_{3} + r_{3} r_{1} = \frac{r_{1} r_{2} r_{3}}{r}

Δ A B C,

r, r_{1}, r_{2}

r_{3}

r . r_{1} . r_{2} . r_{3}

Δ A B C,

r, r_{1^{'}} r_{2}

r_{3}

r . r_{1} . r_{2} . r_{3}

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