Question

ghij ~ uvst, find st and tu.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{GH}{SV} = \frac{70}{3}$

Step2: Match side for $ST$

Corresponding side to $ST$ is $IJ$.
$ST = \frac{IJ}{\text{Ratio}} = \frac{70}{\frac{70}{3}} = 70 \times \frac{3}{70}$

Step3: Calculate $ST$

$ST = 3$

Step4: Match side for $TU$

Corresponding side to $TU$ is $JG$.
$TU = \frac{JG}{\text{Ratio}} = \frac{50}{\frac{70}{3}} = 50 \times \frac{3}{70}$

Step5: Simplify for $TU$

$TU = \frac{150}{70} = \frac{15}{7} \approx 2.14$

Answer:

$ST = 3$
$TU = \frac{15}{7}$ (or approximately $2.14$)