Question

listen
the longest side of a triangle similar to $\triangle xyz$ is 39 units long. find the other side lengths of the triangle.
the other side lengths are $\boldsymbol{square}$ units and $\boldsymbol{square}$ units.
(note: the side lengths of $\triangle xyz$ are $xy=13$, $yz=12$, $xz=10$)

Explanation:

Step1: Find similarity ratio

First, identify the longest side of $\triangle XYZ$: it is $XY = 13$. The longest side of the similar triangle is 39. Calculate the ratio:
$\text{Ratio} = \frac{39}{13} = 3$

Step2: Calculate side 1 (corr to XZ)

Multiply the length of $XZ=10$ by the ratio:
$10 \times 3 = 30$

Step3: Calculate side 2 (corr to YZ)

Multiply the length of $YZ=12$ by the ratio:
$12 \times 3 = 36$

Answer:

The other side lengths are 30 units and 36 units.