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

Refer to the figure to complete thus proportion. c/a = a/?-example-1
User Aaron Maenpaa
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1 Answer

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19 votes

(c)/(a)\text{ = }(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;


(c)/(a)\text{ = }(a)/(r)

User Soc
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