Question

in $\triangle klm$, $overline{kl} parallel overline{no}$. given that $nk = 15$, $mn = 20$, and $mo = 28$, find $ol$.
$ol = \square$

Explanation:

Step1: Apply Basic Proportionality Theorem

$\frac{MN}{NK} = \frac{MO}{OL}$

Step2: Substitute given values

$\frac{20}{15} = \frac{28}{OL}$

Step3: Simplify left fraction

$\frac{4}{3} = \frac{28}{OL}$

Step4: Solve for OL

$OL = 28 \times \frac{3}{4}$

Answer:

21