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Question Number 196021 by universe last updated on 16/Aug/23

Answered by mr W last updated on 17/Aug/23

Commented by mr W last updated on 17/Aug/23

$$3trianglesaresimilar.$$$$\frac{AC}{BC}=\frac{12}{16}=\frac{3}{4}$$$${AC}^2+{BC}^2=a^2$$$$\Rightarrow AC=\frac{3a}{5},BC=\frac{4a}{5}$$$$\frac{r}{12}=\frac{a}{BC}=\frac{5a}{4a}$$$$\Rightarrow r=15✓$$

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