In Fig. 6.37, if `Delta ABE~=Delta ACD`, show that `Delta ADE~Delta ABC`.

In Fig. 7.8, OA = OB and OD = OC. Show that (i) Delta AOD cong Delta BOC and (ii) AD || BC.

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. If area of Delta LMN is Delta ', then the value of (Delta')/(Delta) is

If Delta = a^(2)-(b-c)^(2), Delta is the area of the Delta ABC then tan A = ?

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

In Fig., E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD bot BC and EF bot AC, prove that triangleABD ~ triangle ECF. .

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Also DeltaABE ~= DeltaACF . Then triangle ABC is :

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Also DeltaABE ~= DeltaACF . Then triangle ABC is :