On graph paper, graph $ΔABC$ if $A(3, 0), B(2, 7),$ and $C(6, 4)$.  

1. What is the most specific name for this triangle? Prove your answer is correct using both slope and side length.

2. What is $m∠A$? Explain how you found your answer.

   Hint (b):

   This is an isosceles triangle so the base angles are congruent.

3. Without using your calculator, use $∆ABC$ to determine the exact value of $\tan(45^{\circ})$.

   Hint (c):

   $\tan{A} =\frac{\text{opp.}}{\text{adj.}}$