The ratio between the altitudes of two similar triangles is 3 : 5; wri

1.	The ratio between the altitudes of two similar triangles is 3 : 5; write the ratio between their:(i) medians (ii) perimeters(iii) areas
Answer» The ratio between the altitudes of two similar triangles is same as the ratio between their sides. (i) The ratio between the medians of two similar triangles is same as the ratio between their sides. ∴ Required ratio = 3 : 5 (ii) The ratio between the perimeters of two similar triangles is same as the ratio between their sides. ∴ Required ratio = 3 : 5 (iii) The ratio between the areas of two similar triangles is same as the square of the ratio between their corresponding sides. ∴ Required ratio = (3)² : (5)² = 9 : 25

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

Answer»

The ratio between the altitudes of two similar triangles is same as the ratio between their sides.

(i) The ratio between the medians of two similar triangles is same as the ratio between their sides.

∴ Required ratio = 3 : 5

(ii) The ratio between the perimeters of two similar triangles is same as the ratio between their sides.

∴ Required ratio = 3 : 5

(iii) The ratio between the areas of two similar triangles is same as the square of the ratio between their corresponding sides.

∴ Required ratio = (3)² : (5)² = 9 : 25

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