### 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 $A^\prime B^\prime C^\prime$. 2-51 HW eTool (Desmos) Homework Help ✎

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, ΔABC′?

Find AB′ by using the Pythagorean Theorem.

AC′ = 6, BC′ = 8, AB′ = 10

3. Calculate the area and the perimeter of ΔABC′.

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