In triangle ABC, AB = 36, BC = 40, CA = 44. The bisector of angle A meet BC at D and the circumcircle at E different from A. Calculate the value of .

A quadrilateral ABCD is inscribed in a circle. Suppose that DA =BC= 2 and AB = 4. Let E be the intersection point of lines BC and DA. Suppose that angle <AEB = 60 and that CD <AB. Calculate the radius of the circle.

ABC is a triangle with ∠BAC = 120°, and D and E are points on side BC such that DAE is an equilateral triangle. If BD = 8 cm and EC = 32 cm, what is the length (in cm) of DE?

Select the correct answer.In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E? A. 88° B. 90° C. 99° D. 100°

In triangle ABC, angle C is a right angle. Point D lies on side AB, and point E lies on side BC. The line DE is parallel to side AC. If the length of side AB is 39 units, the length of DE is 8 units, and the length of side AC is greater than the length of side BC, and the area of triangle ABC is 270 square units, what is the length of side BE, in units?

A triangle ABC is drawn to circumscribe a circle of radius4cm such that the segments BD and DC into which BC isdivided by the point of contact D are of lengths 8 cm and 6cm respectively (see fig). Find the sides AB and AC