Question

select the proportion you would use to solve for x.
o a. $\frac{64}{x}=\frac{x}{36}$
o b. $\frac{x}{64}=\frac{64}{36}$
o c. $\frac{x}{36}=\frac{100}{x}$
o d. $\frac{x}{100}=\frac{36}{64}$

Explanation:

Step1: Use similar - triangle property

In similar right - triangles, the ratios of corresponding sides are equal. The two right - triangles in the figure are similar. The ratio of the hypotenuse of the large triangle to the side of the small triangle is equal to the ratio of the hypotenuse of the small triangle to the unknown side $x$. The hypotenuse of the large triangle is $64 + 36=100$, and the hypotenuse of the small triangle is $36$. So the proportion is $\frac{x}{36}=\frac{100}{x}$.

Answer:

C. $\frac{x}{36}=\frac{100}{x}$