Question

1. refer to the figure to complete the proportion.

\\(\frac{r}{h}=\frac{h}{?}\\)

Explanation:

Step1: Recall similar - triangle property

In a right - triangle with altitude \(h\) drawn to the hypotenuse \(c\), the two smaller right - triangles formed are similar to the large right - triangle and to each other. We know that \(\frac{r}{h}=\frac{h}{s}\) by the geometric mean theorem in right - triangles. The reason is that the ratios of corresponding sides of similar triangles are equal.

Answer:

\(s\)