Question

for this item, enter the answer in the space provided. triangle a undergoes a dilation to form triangle b. for triangle a to be similar to triangle b, the value of x is

Explanation:

Step1: Find the scale - factor

The ratio of the corresponding sides of similar triangles is equal. Consider the sides of length 6 cm and 8 cm. The scale - factor $k=\frac{8}{6}=\frac{4}{3}$.

Step2: Calculate the value of $x$

We know that the side of length 15 cm in triangle A corresponds to side $x$ in triangle B. Using the scale - factor, we have $x = 15\times\frac{4}{3}$.
$x=20$.

Answer:

20