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Find the scale factor of a similar triangle whose sides are 4,12,20 and 5,15,25
To find the scale factor of two similar triangles, we can compare the corresponding sides of the triangles.
Let's compare the corresponding sides of the two triangles:
For the first triangle: sides are 4, 12, and 20.
For the second triangle: sides are 5, 15, and 25.
We'll divide the corresponding sides of the second triangle by the corresponding sides of the first triangle to get the scale factor.
First, let's compare the shortest sides:
Scale factor = (5 ÷ 4) = 1.25
Next, let's compare the intermediate sides:
Scale factor = (15 ÷ 12) = 1.25
Finally, let's compare the longest sides:
Scale factor = (25 ÷ 20) = 1.25
Since all the scale factors are the same (1.25), we can conclude that the scale factor of the two triangles is 1.25.
Therefore, the scale factor of the similar triangle is 1.25.
The scale factor of a similar triangles=
Length of first triangle's side / Length of second triangle's side
4 / 5 = 0.8
12 / 15 = 0.8
20 / 25 = 0.8
So the scale factor of the similar triangles is 0.8