Question

plzzzzz solve this sum​

Answer 1

Answer:

Step-by-step explanation:

Given A line cuts two sides AB and AC of triangle ABC at points P and Q respectively. we have to prove that  

\frac{Area(APQ)}{Area(ABC)}=\frac{AP\times AQ}{AB\times AC}

By area formula i.e

ar(APQ)=\frac{1}{2}AP\times AQsinA

ar(ABC)=\frac{1}{2}AB\times ACsinA

∴ \frac{Area(APQ)}{Area(ABC)}=\frac{\frac{1}{2}AP\times AQsinA}{\frac{1}{2}AB\times ACsinA}

                     =\frac{AP\times AQ}{AB\times AC}