Two triangles r the same height. The slope side of triangle A is double the slope of B. how do the lengths of these two triangles compare?
To compare the lengths of two triangles, we need additional information as just knowing the height and the slope ratio is not sufficient.
However, if we assume that the height of the triangles is the altitude, and all three sides of both triangles are proportional, then we can compare their lengths.
Let's say the two triangles are A and B, with the heights h(A) and h(B) being equal.
If the ratio of the slope sides of A and B is 2:1, we can infer that the ratio of the corresponding sides would also be 2:1. This means that each side of triangle A would be twice the length of the corresponding side in triangle B.
For example, if triangle A has sides of length 2, 4, and 6 units, then triangle B would have sides of length 1, 2, and 3 units.
In general, if the sides of triangle A are x, 2x, and 3x, then the corresponding sides of triangle B would be x/2, x, and (3/2)x.
So, the lengths of the sides in these two triangles would follow a ratio of 1:2:3.
Please note that this is based on the assumption stated earlier. If you have additional information or specific measurements, we can provide a more accurate comparison.