SOLUTION AND PROPERTIES OF TRIANGLE | DI...

SOLUTION AND PROPERTIES OF TRIANGLE | DIFFERENT CIRCLES AND CENTERS CONNECTED WITH TRIANGLE | Escribed Circle, Find the Radius of escribed circle `(i) r_1 = Delta/(s-a) = s tan (A/2) = 4 R sin (A/2) Cos (B/2 )Cos (C/2)`, Prove that `r_1+r_2+r_3-r=4R`, Prove that `cosA+cosB+cosC=1+r/R`, If in a triangle `r_1=r_2+r_3+r`; Prove that triangle is right angled., Prove that `(acosA+bcosB+c cosC)/(a+b+c)=r/R`

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If in a triangle r_(1)=r_(2)+r_(3)+r ; Prove that triangle is right angled.

Find the Radius of escribed circle (i) r1= Delta /(s-a)=s tan A/2=4R sin A/2cos B/2cos C/2

If r_1=r_2+r_3+r prove that the triangle is right angled .

If in any triangle r=r _(1) - r_(2) - r_(3), then the triangle is

In a right angles triangle, prove that r+2R=s.

If r_(1) +r_(2)+ r = r_(3), then show that Delta is right angled.

If in a triangle (r)/(r_(1)) = (r_(2))/(r_(3)) , then