Question

In a $ABC,PQ||BC$ and $\frac{AP}{AB}=\frac{3}{8},$ AC = 7.2 then AQ is (iamge)

• A. $19.2$
• B. $2.7$
• C. $11.5$
• D. $8.4$

Answer 1

The correct option is B $2.7$

In $\Delta APQand\Delta ABC,\angle Aiscommon,\angle APQ=\angle ABCand\angle AQP=\angle ACB$

$\left[correspondinganglepairs\right]$

Hence the triangles are similar by AAA.

So, $\frac{AP}{AB}=\frac{AQ}{AC}⟹\frac{3}{8}=\frac{AQ}{7.2}⟹AQ=2.7$.