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Prove that in Delta ABC S (( r1- r2...

Prove that in `Delta ABC `
` S (( r_1- r_2) /( a) + ( r_2- r)/( b) + ( r_3- r)/( c ) ) = r_1+ r_2+ r_3`
Prove that in `Delta ABC `

A

` r_1 + r_2+r_3`

B

` r_1+ r_2- r_3`

C

` r_1- r_2+r_3`

D

` -r_1+r_2+r_3`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
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  3. Prove that in Delta ABC S (( r1- r2) /( a) + ( r2- r)/( b) + ( r3...

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  5. If 2( r+R ) = b+ c then A =

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  7. r^(2) cot ""(A)/(2) cot ""(B)/(2) cot ""(C)/(2)

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  8. In DeltaABC,(b-c)/r1+(c-a)/r2+(a-b)/r3=

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  9. The perimeter of a triangle is equal to the diameter of the escribed ...

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  10. r1^(2) = r1r2+ r2r3 +r3r1 triangle is

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  11. In Delta ABC if a: b: c = 3: 7 : 8 then the ratio of circum radius...

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  12. In Delta ABC, (ab-r1 r2)/r3=

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  13. In Delta ABC , if r1 = 8, r2=12 , r3 = 24 then the value of sin B=

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  14. If a = 18 , b= 24 , c= 30 " then" r2 r1 is

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  15. If the sides of a triangle are xy + yz , yz +zx , zx+ xy then inradi...

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  16. If r1 , r2 , r3 are the radii of the escribed circles of a Delta ABC ...

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  17. In a Delta ABC if angle A=90^@, then cos^(-1)(( R)/(r2 +r3)) is equal

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  18. In Delta ABC if a= 26 , b = 30 , cos C ""( 63)/( 65) " then " r2...

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  19. In Delta ABC ( ( s-a))/( Delta) = (1)/( 8) , ( ( s-b))/( Delta ) = (...

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  20. (r1)/( R ) =sin A + sin B + sin C then the triangles is

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