Mathematics
In the given figure, DE || BC. (i) Prove that △ADE and △ABC are similar. (ii) Given that AD = BD, calculate DE, if BC = 4.5 cm. (iii) If area of △ABC = 18 cm<sup>2</sup>, find area of trapezium DBCE.
Related Questions
In the figure (i) given below, DE || BC. If DE = 6 cm, BC = 9 cm and area of △ADE = 28 sq. cm, find the area of △ABC.
In the figure (ii) given below, DE || BC and AD : DB = 1 : 2, find the ratio of the areas of △ADE and trapezium DBCE.
In the given figure, AB and DE are perpendiculars to BC.
(i) Prove that △ABC ~ △DEC.
(ii) If AB = 6 cm, DE = 4 cm and AC = 15 cm, calculate CD.
(iii) Find the ratio of the area of △ABC : area of △DEC.