Question

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

• A. $10cm$
• B. $11cm$
• C. $12cm$
• D. $13cm$

Answer 1

The correct option is B $11cm$

From$△PQS\&△QRS,$ the have the same base.

$\therefore \frac{ar\left(△PQS\right)}{ar\left(△QRS\right)}=\frac{PM}{NR}$

Triangles with same base have areas are proportional heights.

$\therefore \frac{100}{110}=\frac{10}{NR}$

$⟹NR=\frac{110\times 10}{100}=11cm.$