### Home > INT2 > Chapter 2 > Lesson 2.2.1 > Problem2-51

2-51.

Plot triangle $ABC$ with vertices $A(0, 0)$, $B(3, 4)$, and $C(3, 0)$ on graph paper. Using the origin as the point of dilation, enlarge it by a factor of $2$ (imagine using two rubber bands). Label this new triangle $A^\prime B^\prime C^\prime$.

1. What are the side lengths of the original triangle, $ΔABC$?

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. Calculate the area and the perimeter of $ΔA'B'C'$.

Use the eTool below to to plot triangle ABC and then enlarge from the origin.
Click the link at right for the full version of the eTool: Int2 2-51 HW eTool