Answer:
The height of the original triangle is [tex]5\ inches[/tex]
Step-by-step explanation:
we know that
The scale factor is equal to divide the length of the corresponding side of the reduced triangle by the length of the corresponding side of the original triangle
Let
z-----> the scale factor
x-----> the length of the corresponding side of the reduced triangle
y-----> the length of the corresponding side of the original triangle
so
[tex]z=\frac{x}{y}[/tex]
in this problem we have
[tex]z=0.4[/tex]
[tex]x=2\ in[/tex] -----> the height of the reduced triangle
substitute and solve for y
[tex]0.4=\frac{2}{y}[/tex]
[tex]y=2/0.4=5\ in[/tex]
