Question

to the scaled copy?
3
what is the length of the base in the scaled
copy?
units
scaled copy
36
?

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the heights of the two triangles. The height of the original triangle is \(12\) and the height of the scaled - copy is \(36\). So, the scale factor \(k=\frac{36}{12}\).
$$k = 3$$

Step2: Calculate the base of the scaled - copy

The base of the original triangle is \(10\). Since the triangles are similar (because it's a scaled - copy), the ratio of the bases is the same as the ratio of the heights. Let \(b\) be the base of the scaled - copy. Then \(b=10\times k\). Substitute \(k = 3\) into the equation.
$$b=10\times3$$

Answer:

\(30\)