The exradii `r_1,r_2` and `r_3` of ` /_\A B C` are in H.P. Show that its sides `a , b a n d c` are in `AdotPdot`

The exradii r_1,r_2 and r_3 of /_\A B C are in H.P. Show that its sides a , ba n dc are in AdotPdot

The exradii r_(1), r_(2), and r_(3) " of " Delta ABC are in H.P. show that its sides a, b, and c are in A.P.

The exradii of a triangle r_(1),r_(2),r_(3) are in HP , then the sides a,b,c are

If r_(1), r_(2), r_(3) in triangle be in H.P., then the sides are :

The radii r_1, r_2,r_3 of the escribed circles of the triangle A B C are in H.P. If the area of the triangle is 24 c m^2a n d its perimeter is 24cm, then the length of its largest side is 10 (b) 9 (c) 8 (d) none of these

If a,b,c are in AP, then show that r_(1), r_(2), r_(3) are in HP.

If In (a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then a , b , c ,a r einAdotPdot (b) a^2,b^2,c^2a r einAdotPdot a , b , c are in GdotPdot (d) a , b , c are in HdotPdot

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these

In an acute angled triangle A B C , a semicircle with radius r_a is constructed with its base on BC and tangent to the other two sides. r_b a n dr_c are defined similarly. If r is the radius of the incircle of triangle ABC then prove that 2/r=1/(r_a)+1/(r_b)+1/(r_c)dot

If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then (a)the altitudes are in A.P. (b)the altitudes are in H.P. (c)the medians are in G.P. (d)the medians are in A.P.