If two similar triangles have a scale factor of 5:4, what is the ratio of their corresponding altitudes?
here
When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 2 Perimeter of similar triangles.
not sure what the question has to do with perimeters, but the scale factor applies to all linear dimensions. So the altitudes are also in the ratio 5:4
Since its given that the scale factor is 5:4 of similar triangles then the ratio of corresponding altitudes will also be 5:4. As when two triangles are similar their corresponding side, perimeter,altitudes have same ratio...
To find the ratio of the corresponding altitudes of two similar triangles, you need to know the scale factor between them. In this case, the scale factor is given as 5:4.
To find the ratio of their corresponding altitudes, simply compare the scale factor of their altitudes to the scale factor of their corresponding sides.
In a similar triangle, the ratio of the lengths of their corresponding sides is equal to the scale factor. In this case, the scale factor between the corresponding sides is 5:4.
Therefore, the ratio of their corresponding altitudes is also 5:4.
So, the ratio of their corresponding altitudes is 5:4.