Question

value: 2
select the proportion you would use to solve for x.
36
64
x
a. $\frac{64}{x}=\frac{x}{36}$
b. $\frac{x}{64}=\frac{64}{36}$
c. $\frac{x}{36}=\frac{100}{x}$
d. $\frac{x}{100}=\frac{36}{64}$

Explanation:

Step1: Recall similar - triangle property

In similar right - triangles, the ratios of corresponding sides are equal. The two right - triangles formed are similar. The ratio of the hypotenuse to the side of one triangle should equal the ratio of the hypotenuse to the side of the other triangle.

Step2: Check the ratios

For the given right - triangle with sides 64 and 36, and the unknown side \(x\), the correct proportion is \(\frac{64}{x}=\frac{x}{36}\) (by the geometric - mean theorem in right - triangles).

Answer:

A. \(\frac{64}{x}=\frac{x}{36}\)