Answer
$\frac{5}{4}$
Work Step by Step
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.
$\frac{5}{4}$
