Q. 94.5( 67 Votes )
Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio
A. 2 : 3 B. 4 : 9
C. 81 : 16 D. 16 : 81
Answer :
If two triangles are similar to each other, then the ratio of the areas of these triangles will be equal to the square of theratio of the corresponding sides of these triangles.
It is given that the sides are in the ratio 4:9
Therefore,
Ratio between areas of these triangles =
2
= 
Hence, the correct answer is (D)
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PREVIOUSABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is
A. 2 : 1 B. 1 : 2
C. 4 : 1 D. 1 : 4NEXTSides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse.(i) 7 cm, 24 cm, 25 cm(ii) 3 cm, 8 cm, 6 cm(iii) 50 cm, 80 cm, 100 cm(iv) 13 cm, 12 cm, 5 cm
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