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In A B C , if r\ : r1: R=2\ : 12\ :5, w...

In ` A B C` , if `r\ : r_1: R=2\ : 12\ :5,` where all symbols have their usual meaning, then ` A B C` is an acute angled triangle ` A B C` is an obtuse angled triangle ` A B C` is right angled which is not isosceles ` A B C` is isosceles which is not right angled

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ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. If r1,\ r2a n d\ r3 be the radii of excircles of the triangle A B C , ...

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  2. a,b,x are in A.P., are in G.P. and a, b, z are in H.P. then:

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  3. In A B C , if r\ : r1: R=2\ : 12\ :5, where all symbols have their us...

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  4. If a,b A be given in a triangl and c(1) and c(2) two possible values o...

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  5. If A , B , C are angles of a triangle which of the following will not ...

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  6. In a A B C , S/R is equal to s in A+s in B+s in C (b) 4cosA/2cosB/2co...

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  7. If cos A+cos B+2cos C=2 then the sides of the A B C are in (a)A.P. (b...

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  8. The line x/6+y/8=1 cuts the co-ordinate axis at A\ &\ B . If O is orig...

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  9. In triangle ABC, CD is the bisector of the angle C. if cos.(C)/(2) = (...

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  10. D , E , F are the foot of the perpendicular from vertices A , B , C to...

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  11. In an isosceles A B C , the altitudes intersect on the inscribed circ...

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  12. In a triangle ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

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  13. If in a triangle A B C\ p ,\ q ,\ r are the altitudes from the vertice...

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  14. A D ,\ B E\ A N D\ C F are the perpendiculars from the angular points ...

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  15. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

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  16. In a triangle A B C ,\ (r1-r)(r2-r)(r3-r) is equal to 4R r^2 (b) (4a b...

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  17. Two rays emanate from the point A and form an angle of 43 with one a...

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  18. In a A B C ,\ A=pi/3\ a n d\ b : c=2: 3. If tanalpha=(sqrt(3))/5,\ o<...

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  19. In A B C , on the side B C ,D and E are two points such that B D=D E=...

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  20. In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot ...

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