In `/_\ABC`, a = 3, b = 4, C= `90^@` and D is a point on AB such that `angleBCD= 30^@`. Find the length of CD.

AB and EF are two parallel line segments and D is the point of intersection of BE and AF. C is a point on AE such that CD||AB . If AB = 6 cm., EF = 10cm .,BD = 4 cm.,find the lengths of CD and DE.

ABC is an isosceles triangle with AB = AC and D is a point on AC such that BC^2=ACxxCD . Prove that BD = BC

In /_\ABC /_B=90° if AB = 40 cm and AC + BC =50 cm, find tan A .

In /_\ABC /_B=90° if AB = 40 cm and AC + BC =50 cm, find sin A .

If a =3,b= 5,c= 7 in a triangle ABC, find the value of sec C.

In /_\ABC /_A=90° if AB = 7 cm and BC - AC = 1 cm, find cot B .

ABC is a triangle. D and E are two points on AB and AC such that DE and BC are parallel. If the area of DECB is m times the area of ADE then find (DB)/(AB) .

In /_\ABC /_A=90° if AB = 7 cm and BC - AC = 1 cm, find cos C .

D is the point on the side BC of ABC such that angleADC = angleBAC . Prove that, (BC)/(CA) = (CA)/(CD) .

In triangle ABC,D and E are points on the sides AB and AC such that angleAED=angleC . Prove that triangleADE~triangleABC