14 ft
20 ft
pythagorean theorem

280 f^2 t^2

Explain

1. Axiom

Appropriate definition: An elementary mathematical truth that is assumed self-evident and not in need of proof (a).

2. Corollary

Appropriate definition: A theorem that is an immediate consequence (and perhaps special case) of another theorem (b).

3. Contradiction

Appropriate definition: A proposition that is always false (c).

4. Tautology

Appropriate definition: A proposition that is always true (d).

5. Theorem

Appropriate definition: An important true mathematical statements (e).

6. Lemma

Appropriate definition: A theorem that is needed as a stepping stone to prove a greater theorem (f).