Question

question 5
what is the missing side length y in triangle xyz?
12
13
25
24
question 6
2 points
triangle rst has side lengths 5 cm, 12 cm, and 13 cm. triangle def is similar to triangle rst. in triangle def,
the shortest side is 15 cm.
the scale factor from triangle rst to triangle def is
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Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the corresponding sides of similar triangles.
For triangle \(RST\) with side lengths \(5\mathrm{cm},12\mathrm{cm},13\mathrm{cm}\), the shortest side is \(5\mathrm{cm}\).
For triangle \(DEF\), the shortest side is \(15\mathrm{cm}\).
The scale factor \(k=\frac{\text{side of }DEF}{\text{side of }RST}\)
So, \(k = \frac{15}{5}\)

Step2: Calculate the value

\(k=\frac{15}{5}=3\)

Answer:

\(3\)