Question

in $\triangle opq$, $overline{op} parallel overline{rs}$. given that $qo = 35$, $qp = 42$, and $qs = 24$, find $qr$.
$qr = square$

Explanation:

Step1: Apply Basic Proportionality Theorem

$\frac{QR}{QO} = \frac{QS}{QP}$

Step2: Substitute given values

$\frac{QR}{35} = \frac{24}{42}$

Step3: Solve for QR

$QR = 35 \times \frac{24}{42}$
$QR = 35 \times \frac{4}{7}$
$QR = 5 \times 4$

Answer:

20