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If r1, lt r2, lt r3 are the ex-radii of ...

If `r_1, lt r_2, lt r_3` are the ex-radii of a right angled triangle and `r_1 = 1,r_2 = 2, " then " r_3 =`...

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The correct Answer is:
`(3+sqrt17)/2`
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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. If the sides of a triangle are in A.P. as well as in G.P., then the va...

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  2. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

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  3. If r1, lt r2, lt r3 are the ex-radii of a right angled triangle and r1...

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  4. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

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  5. AD is internal angle bisector of DeltaABC " at " angleA and DE perpend...

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  6. Consider a triangle ABC and let a , b , and c denote the lengths of t...

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  7. In triangleABC, if a^(2)+c^(2)-b^(2)=ac, then angleB=

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  8. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

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  9. In Delta ABC, cscA (sin B cos C + cos B sin C) =

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  10. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

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  11. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

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  12. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

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  13. If in a right angled triangle the hypotenuse is four times as long as ...

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  14. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

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  15. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

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  16. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

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  17. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

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  18. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

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  19. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

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  20. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

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