## Geometry: Common Core (15th Edition)

$\frac{5}{4}$
By looking at the graph, you can determine EC is 8 units. You can also tell that AC is 6 units long. To figure out AE's length, calculate using the Pythagorean theorem. $AC^{2}$ + $EC^{2}$ = $AE^{2}$ $6^{2}$ + $8^{2}$ = $AE^{2}$ 36+64=$AE^{2}$ 100=$AE^{2}$ 10=AE Write the ratio of the sides. $\frac{AE}{EC}$=$\frac{10}{8}$ Reduce by dividing the numerator and denominator by 2. $\frac{5}{4}$