Plot triangle $ABC$ formed with the points $A(0,0)$, $B(3,4)$, and $C(3,0)$, on graph paper. Use the method used in problem 3-2 to enlarge it from the origin by a factor of $2$ (using two “rubber bands”). Label this new triangle $A'B'C'$.  

1. What are the side lengths of the original triangle, $\Delta ABC$?

   Hint (a):

   Find $AB$ by using the Pythagorean Theorem. For this triangle, $(AC)^2+(CB)^2=(AB)^2$.

2. What are the side lengths of the enlarged triangle, $ΔA'B'C'$?

   Hint (b):

   Find $A'B'$ by using the Pythagorean Theorem.

   Answer (b):

   $A'C'=6$, $B'C'=8$, $A'B'=10$

3. Find the area and the perimeter of $ΔA'B'C'$.