1.

In the adjoining figure, find AC.

Answer»

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 \(\frac{AD}{DB}\) = \(\frac{AE}{EC}\)

⇒ \(\frac{6}9\) = \(\frac{8}x\)

⇒ x = \(\frac{8(9)}{6}\)

⇒ x = 12 cm = EC 

Here, AC = AE + EC 

⇒ AC = 8 + 12 = 20 cm 

∴ AC = 20 cm



Discussion

No Comment Found

Related InterviewSolutions