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

2-51.

Plot triangle with vertices

*,*

*, and*

*on graph paper. Using the origin as the point of dilation, enlarge it by a factor of*

*.*

*2-51 HW eTool*

*(Desmos) Homework Help ✎*

What are the side lengths of the original triangle, Δ

*ABC*?Find

*AB*by using the Pythagorean Theorem. For this triangle, (*AC*)^{2}+ (*CB*)^{2}= (*AB*)^{2}.What are the side lengths of the enlarged triangle, Δ

*A*′*B*′*C*′?Find

*A*′*B*′ by using the Pythagorean Theorem.*A*′*C*′ = 6,*B*′*C*′ = 8,*A*′*B*′ = 10Calculate the area and the perimeter of Δ

*A*′*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*