Prove that ∆ADE and ∆ABC are similar.

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 cm², find the area of trapezium DBCE

Solution:

More Solutions:

• In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE.
• The given figure, AB || DE. The length of CD is
• If ∆PQR ~ ∆ABC, PQ = 6 cm, AB = 8 cm and perimeter of ∆ABC is 36 cm.
• PQ || CA and all lengths are given in centimeters.
• The points on the sides AB and AC of a ∆ABC.
• If the areas of two similar triangles are in the ratio 4 : 9