### Home > CCG > Chapter 3 > Lesson 3.1.1 > Problem3-5

3-5.

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, $\Delta ABC$?

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, $ΔA'B'C'$?

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

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

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

Use the eTool below to plot triangle $ABC$ and then enlarge from the origin.
Click the link at right for the full version of the eTool: CCG 3-5 HW eTool (Desmos)