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Answer:
The ratio of the slant heights of the two cones will also be n : m.
Step-by-step explanation:
See the attached diagram.
If we take the vertical sections along any diameter of the base circle of the cones A and B then the triangular sections as we get will be similar.
Now, ratio of the base of the triangles A and B i.e. the ratio of the diameters of the cones A and B will be 2n : 2m = n : m and this will be the same as the ratios of other two sides of the triangles A and B.
Therefore, the ratio of the slant heights of the two cones will also be n : m. (Answer)
