Question

The diagram represents a triangle that is reduced by a scale factor of 0.4.

What is the height of the original triangle?
0.8 inches
2.4 inches
5 inches
8 inches

Answer 1

x = height of original triangle

0.4x = 2
x = 2 / 0.4
x = 5 <==

Answer 2

The height of the original triangle is
`5\ inches`

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

`z=(x)/(y)`

in this problem we have

`z=0.4`

`x=2\ in` -----> the height of the reduced triangle

substitute and solve for y

`0.4=(2)/(y)`

`y=2/0.4=5\ in`