
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given an ellipse C: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1(a>b>0)$$ whose left and right foci and one endpoint of its minor axis form a right triangle, and point $$D(1, \frac {3}{2})$$ is on the ellipse C.
(1) Find the equation of the ellipse C;
(2) Line MN passes through the left focus F1 of the ellipse, A is the upper endpoint of the minor axis of the ellipse. When line AF1 is perpendicular to MN, find the area of triangle MNA.

Present the answer in LaTex format: \boxed{Your answer}
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