Question

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the shortest side of a triangle similar to $\triangle xyz$ is 20 units long. find the other side lengths of the triangle.
the other side lengths are units and units

Explanation:

Step1: Find similarity ratio

The shortest side of $\triangle XYZ$ is 10 units, and the shortest side of the similar triangle is 20 units.
Ratio $r = \frac{20}{10} = 2$

Step2: Calculate first unknown side

Multiply the side length 12 by the ratio.
$12 \times 2 = 24$

Step3: Calculate second unknown side

Multiply the side length 13 by the ratio.
$13 \times 2 = 26$

Answer:

24 units and 26 units