Question

refer to the figure to complete thus proportion. c/a = a/?

Answer 1

$\frac{c}{a}\text{ = }\frac{a}{r}$

Here, we want to compare triangles and such write the equivalent ratio on both

Mathematically, if two triangles are similar, the ratio of their sides are fixed

In the triangle consisting of c and a, we can see that c is the hypotenuse( the side facing the right-angle) while a represents the base

Now, in the triangle where we have a as the hypotenuse, we can see that the measure r reresents the base of the triangle

Thus, we can complete the proportion as;

$\frac{c}{a}\text{ = }\frac{a}{r}$