In the given figure, equilateral ΔABD and ΔACE are drawn on the sides of a ΔABC. Prove that CD = BE.

In the figure given, D divides the side BC of a ΔABC in the ratio 3 : 5. The area of ΔABD equals to

In the adjoining gure, two points A and B lie on the same side of a line XY if AD XY, BEXY and Cis the midpoint of AB, prove that CD CE

The sides BA and DC of quadrilateral ABCD is produced as shown in the figure. Prove thatx + y = a + b.(Hint: DAB = 180– b( linear pair)Similarly BCD = 180 – a(Linear pair)

In the given figure, CD is a direct common tangent to two circles intersecting each other at A and B. Then,

In ΔABC, AC = 15 cm and DE || BC. If ADDB=21, then EC = ______.