Question

The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Answer 1

4.8 inches

Explanation:

See comment for complete question

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

`H_1 =6\ in` -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

`Original * Scale\ Factor = New`

In this case:

`H_1 * Scale\ Factor = H_2`

Substitute 6 for H1 and 0.8 for Scale Factor

`6* 0.8 = H_2`

`4.8= H_2`

Hence, the height of the smaller triangle is 4.8 inches