If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio
9 : 4
3 : 2
2 : 3
16 : 81
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Question

If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio 1. 9 : 4 2. 3 : 2 3. 2 : 3 4. 16 : 81

KnowledgeBoat · Accepted Answer

Given, ratio of the areas of the two similar triangles = 4 : 9 We know that, the ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides. = 2 : 3. Hence, Option 3 is the correct option.

Mathematics

If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio
9 : 4
3 : 2
2 : 3
16 : 81

Similarity

Related Questions

In the adjoining figure, MN || QR. If PN = 3.6 cm, NR = 2.4 cm and PQ = 5 cm, then PM is
4 cm
3.6 cm
2 cm
3 cm

If △ABC ~ △PQR, BC = 8 cm and QR = 6 cm, then the ratio of the areas of △ABC and △PQR is
8 : 6
3 : 4
9 : 16
16 : 9

Mathematics

If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio9 : 43 : 22 : 316 : 81

Similarity

Related Questions

In the adjoining figure, MN || QR. If PN = 3.6 cm, NR = 2.4 cm and PQ = 5 cm, then PM is4 cm3.6 cm2 cm3 cm

If △ABC ~ △PQR, BC = 8 cm and QR = 6 cm, then the ratio of the areas of △ABC and △PQR is8 : 63 : 49 : 1616 : 9

If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio
9 : 4
3 : 2
2 : 3
16 : 81

In the adjoining figure, MN || QR. If PN = 3.6 cm, NR = 2.4 cm and PQ = 5 cm, then PM is
4 cm
3.6 cm
2 cm
3 cm

If △ABC ~ △PQR, BC = 8 cm and QR = 6 cm, then the ratio of the areas of △ABC and △PQR is
8 : 6
3 : 4
9 : 16
16 : 9