In a triangle ABC with the right angle C, side BC is divided by points D and E into three equal parts. Find the sum of angles AEC, ADC, and ABC if it is known that `BC = 3AC`

In a triangle ABC, right-angled at B, side BC = 20 cm and angle A= 30°. Find the length of AB.

In a triangle ABC the angle A is twice the angle C, the side BC is 2 cm longer than the side AB, and AC=5 cm. Find AB and BC.

In triangle ABC right angled at B, if the two sides AB and BC are in the ratio 1 : 3, evaluate the value of sin C.

ABC is a right angled triangle , right angled at angleB . If side AB is divided into three equal parts by points D and E such that D is nearest to A , then (AC^(2)-EC^(2))/(DC^(2)-BC^(2)) is equal to :

In the right angle ABC. BD divides the triangle ABC into two triangles of equal perimeters . Find the length of BD, given that AC=100, BC=80. angle B=90^(@)

In a triangle ABC, angle bisector of angle BAC cut the side BC at D and meet the circumcircle of Delta ABC at E , then find AB .AC+DE. AE.

In right angle Delta ABC , BD divides Delta ABC into two equal perimeter Delta . Find AD if AC = 10 cm , BC = 8 cm angle B = 90^(@)