Question

triangle b is a scaled copy of triangle a. what is the value of c? triangle a: side length 24, base length 8. triangle b: base length 11, side length c.

Explanation:

Step1: Find the scale - factor

Since triangle B is a scaled copy of triangle A, the ratio of corresponding sides is the same. The ratio of the bases of the two triangles gives the scale - factor. The base of triangle A is 8 and the base of triangle B is 11. The scale - factor $k=\frac{11}{8}$.

Step2: Find the value of c

The side of length 24 in triangle A corresponds to side c in triangle B. We use the scale - factor to find c. So $c = 24\times\frac{11}{8}$.
$c=\frac{24\times11}{8}=\frac{264}{8}=33$

Answer:

33