Question

In the fig., $PM=10$ cm, $A\left(△PQS\right)=100$ sq. cm, $A\left(△QRS\right)=110$ sq. cm, then find $NR$.

Answer 1

Now, given

$A\left(\Delta PQS\right)=100$

or, $\frac{1}{2}\times PM\times QS=100$

or, $QS=20$ [ Since $PM=10$]

Again given,

$A\left(\Delta QRS\right)=100$

or, $\frac{1}{2}\times NR\times QS=110$

or, $NR=11$ [ Since $QS=20$]