Question

select the proportion you would use to solve for x.

a. $\frac{48}{36}=\frac{x}{48}$
b. $\frac{x}{36}=\frac{36}{48}$
c. $\frac{x}{36}=\frac{48}{x}$
d. $\frac{x}{84}=\frac{36}{48}$

Explanation:

Step1: Use geometric - proportion rule

In similar right - triangles, the ratios of corresponding sides are equal. The large right - triangle and the smaller right - triangle sharing an angle are similar. The ratio of the hypotenuse to the shorter leg in the large triangle should equal the ratio of the hypotenuse to the shorter leg in the smaller triangle. So, $\frac{x}{36}=\frac{48}{x}$.

Answer:

C. $\frac{x}{36}=\frac{48}{x}$