Finding Missing Side Length in Similar Triangles
The image shows two similar triangles, and we're asked to find the missing side length, labeled as "x". When two triangles are similar, corresponding side lengths are proportional.
In the image, the smaller triangle has sides of length 4 and "x", and the larger triangle has corresponding sides of length 8 and 16.
We can set up a proportion using the known side lengths of the triangles:
\[\frac{x}{16} = \frac{4}{8}\]
To find x, we solve for it by cross-multiplying:
\[8x = 4 \times 16\]
\[8x = 64\]
\[x = \frac{64}{8}\]
\[x = 8\]
Therefore, the missing side length "x" is 8 units long.
