Q8 of 95 Page 5

If DE has been drawn parallel to side BC of ΔABC cutting AB and AC at points D and E respectively, such that , then find the value of .


Given: DE || BC


and


To find :


Given: DE || BC


Basic Proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio.


[by basic proportionality theorem]



More from this chapter

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6

In the adjoining figure, AD = 2 cm, DB = 3 cm, AE = 5 cm and DE || BC, then find EC.

 7

In the adjoining figure, DE || BC, AD = 2.4 cm, AE = 3.2 cm, CE = 4.8 cm, find BD.

 9

In the adjoining figure, P and Q are points on sides AB and AC respectively of mix such that PQ || BC and AP= 8 cm, AB =12 cm, AQ = 3x cm, QC = (x + 2) cm. Find x.

 10

In the adjoining figure, DE || BC, find x.