Q2 of 168 Page 4

In the adjoining figure, find AC.


From the given figure ΔABC, DE || BC.


Let EC = x cm.


We know that basic proportionality theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.


Then




⇒ x = 12 cm = EC


Here, AC = AE + EC


⇒ AC = 8 + 12 = 20 cm


∴ AC = 20 cm


More from this chapter

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Determine whether the triangle having sides (a – 1) cm, cm and (a + 1) cm is a right angled triangle.

 1

State basic proportionality theorem and its converse.

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In the adjoining figure, if AD is the bisector of ∠A, what is AC?


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State AAA similarity criterion.