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12. refer to the figure to complete this proportion. \\(\\frac{r}{?}=\\…

Question

  1. refer to the figure to complete this proportion.

\\(\frac{r}{?}=\frac{b}{s}\\)

Explanation:

Step1: Recall similar - triangles property

In a right - triangle with an altitude drawn to the hypotenuse, we have similar right - triangles. The two smaller right - triangles formed are similar to the large right - triangle and to each other. The proportion $\frac{r}{h}=\frac{h}{s}$ is based on the fact that the triangles are similar. By the property of similar triangles, the ratios of corresponding sides are equal.

Answer:

h