The areas of two similar triangles are 49 cm² and 64 cm² respectively. The ratio of their corresponding sides is:
7 : 8
49 : 64
8 : 7
64 : 49
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Question

The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is: 1. 7 : 8 2. 49 : 64 3. 8 : 7 4. 64 : 49

KnowledgeBoat · Accepted Answer

Given, Let, A1 and A2 be the areas of two triangle. s1 and s2 be the length of their corresponding sides. Since the triangles are similar, the ratios of Areas of triangles is equal to squares of corresponding sides. Ratio between sides = 7 : 8. Hence, option 1 is the correct option.

Mathematics

The areas of two similar triangles are 49 cm² and 64 cm² respectively. The ratio of their corresponding sides is:
7 : 8
49 : 64
8 : 7
64 : 49

Similarity

Related Questions

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?
(I) ΔABD ∼ ΔCAD
(II) ΔADB ≅ ΔCDA
(III) ΔADB ∼ ΔCAB
I and II
II and III
I and III
I, II and III

The areas of two similar triangles are 12 cm² and 48 cm² respectively. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:
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The areas of two similar triangles are 81 cm² and 144 cm². If the largest side of the smaller triangle is 27 cm, then largest side of the larger triangle is:
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36 cm
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none of these

Mathematics

The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is:7 : 849 : 648 : 764 : 49

Similarity

Related Questions

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?(I) ΔABD ∼ ΔCAD(II) ΔADB ≅ ΔCDA(III) ΔADB ∼ ΔCABI and IIII and IIII and IIII, II and III

The areas of two similar triangles are 12 cm2 and 48 cm2 respectively. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:0.525 cm4.2 cm4.41 cm8.4 cm

The areas of two similar triangles are 81 cm2 and 144 cm2. If the largest side of the smaller triangle is 27 cm, then largest side of the larger triangle is:24 cm36 cm48 cmnone of these

The areas of two similar triangles are 49 cm² and 64 cm² respectively. The ratio of their corresponding sides is:
7 : 8
49 : 64
8 : 7
64 : 49

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?
(I) ΔABD ∼ ΔCAD
(II) ΔADB ≅ ΔCDA
(III) ΔADB ∼ ΔCAB
I and II
II and III
I and III
I, II and III

The areas of two similar triangles are 12 cm² and 48 cm² respectively. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:
0.525 cm
4.2 cm
4.41 cm
8.4 cm

The areas of two similar triangles are 81 cm² and 144 cm². If the largest side of the smaller triangle is 27 cm, then largest side of the larger triangle is:
24 cm
36 cm
48 cm
none of these