Question

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

What is the height of the reduced triangle?
4.0 inches
4.8 inches
5.2 inches
7.5 inches

Answer 1

4.8 inches

Explanation:

The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:

6 inches * scale factor

6 inches* 0.8= 4.8 inches

So the resultant triangle will have a height of 4.8 inches.

Answer 2

The reduction factor of 0.8 means the lengths in the reduced triangle are 0.8 times those of the original.

Then the original 6 inch length is reduced to 0.8×6 inches = 4.8 inches in the reduced triangle.