If figure DE || BC. If AD = 4 cm, DB = 6 cm and AE = 5 cm, then the value of EC will be:


A. 6.5 cm

B. 7.0 cm

C. 7.5 cm

D. 8.0 cm

If figure DE || BC. If AD = 4 cm, DB = 6 cm and AE = 5 cm, then the value of EC will be:

Answer the following in True or False. Write the reason of your answer (if possible).

(i) The ratio of the corresponding sides of two similar triangles is 4 : 9. Then the ratio of the areas of these triangles is 4 : 9.

(ii) In two triangles respectively ΔABC and ΔDEF of then ΔABC ≅ ΔDEF.

(iii) The ratio of the areas of two similar triangles in proportional to the squares of their sides.

(iv) If ΔABC and ΔAXY are similar and the values of their areas are the same then XY and BC may be coincident sides.

Find the solutions of the following questions:

PB and QA are perpendicular at points B and A of line segment AB. If P and Q lie on opposite sides of AB and on joining P and Q it intersects AB at O and PO = 5 cm, QO = 7 cm, area of ΔPOB = 150 cm² then find the area of ΔQOA.

If ΔABC~ΔDEF and their areas are respectively 64 sq cm and 121 sq cm. If EF = 15.4 cm then find BC.

Find the solutions of the following questions:

In ΔABC DE || BC and AD : DB = 2 : 3 then find the ratio of the areas of ΔADE and ΔABC.

If ΔABC ~ ΔDEF and AB = 10 cm, DE = 8 cm then the ratio of area of ΔABC and area of ΔDEF will be:

The areas of two similar triangles are respectively 25 cm² and 36 cm². If the median of the smaller triangle is 10 cm, then the corresponding median of the larger triangle will be:

In a trapezium ABCD, AB || CD and its diagonals meet at point O. If AB = 6 cm and DC = 3 cm then the ratio of the areas of ΔAOB and ΔCOD will be:

If the ratio of heights of two similar triangles be 4 : 9 then find the ratio of the areas of both the triangles.

Find the solutions of the following questions:

Find the value of x in terms of a, b and c in the figure.