In triangle `A B C ,D` is on `A C` such that `A D=B C=D C ,/_D B C=2x ,a n d/_B A D=3x ,` all angles are in degrees, then find the value of `xdot`

If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

In the given figure, A B | | D C and A D | | B C show that Δ A B C ≅ Δ C D A .

In triangle A B C , Medians A D and C E are drawn. If A D=5,/_D A C=pi/8,a n d/_A C E=pi/4 , then the area of the triangle A B C is equal to (25)/9 (b) (25)/3 (c) (25)/(18) (d) (10)/3

In triangle A B C ,A D is the altitude from Adot If b > c ,/_C=23^0,a n dA D=(a b c)/(b^2-c^2), then /_B=_____

Vertices of a variable acute angled triangle A B C lies on a fixed circle. Also, a ,b ,ca n dA ,B ,C are lengths of sides and angles of triangle A B C , respectively. If x_1, x_2a n dx_3 are distances of orthocenter from A ,Ba n dC , respectively, then the maximum value of ((dx_1)/(d a)+(dx_2)/(d b)+(dx_3)/(d c)) is -sqrt(3) b. -3sqrt(3) c. sqrt(3) d. 3sqrt(3)

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

In acute angled triangle A B C ,A D is the altitude. Circle drawn with A D as its diameter cuts A Ba n dA Ca tPa n dQ , respectively. Length of P Q is equal to /(2R) (b) (a b c)/(4R^2) (c) 2RsinAsinBsinC (d) delta/R

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot