Question

segment ae shown has length $sqrt{20}$. which segment is closest in length to $sqrt{10}$? a. $overline{ab}$ b. $overline{ac}$ c. $overline{ad}$

Explanation:

Step1: Analyze the relationship

Since $\sqrt{20}\approx 4.47$. And $\sqrt{10}\approx 3.16$. If we assume the points are evenly - spaced on the line segment $AE$, and we note that $\sqrt{10}$ is approximately $\frac{2}{3}$ of $\sqrt{20}$.

Step2: Estimate the segments

If we consider the segments on the line $AE$, segment $AC$ seems to be about $\frac{2}{3}$ of segment $AE$.

Answer:

B. $\overline{AC}$