The ratio between the areas of two similar triangles is 16 : 25. Find the ratio between their : (i) perimeters. (ii) altitudes. (iii) medians.

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Solution

The ratio of the areas of two similar triangles is equal to the ratio of the squares of the altitudes or medians or sides.
therefore the ratio of the altitude and the medians is equal to 4 : 5
send all the sides of the two similar triangles are in the same ratio therefore the ratio of the perimeters will also be same consequently the ratio of the perimeters will also be equal to 4 : 5

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Similar questions

The ratio between the altitudes of two similar triangles is 3 : 5; write the ratio between their : (i) medians. (ii) perimeters. (iii) areas.

The rario between the altitudes of two similiar triangles is 3:5.

Write ratio between their:

( i ) Medians

( ii )Perimeters

( iii )Medians

16 : 25

25 : 16

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