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Question
The areas of two similar triangles are in respectively 9 cm2 and 16 cm2. The ratio of their corresponding sides is ______.
Options
3 : 4
4 : 3
2 : 3
4 : 5
Solution
The areas of two similar triangles are in respectively 9 cm2 and 16 cm2. The ratio of their corresponding sides is 3 : 4.
Explanation:
Given: Areas of two similar triangles are 9cm2 and 16cm2.
To find: Ratio of their corresponding sides.
We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.
`\text{ar(tringle 1)}/\text{ar(tringle 2)}=(\text{side1}/\text{side2})^2`
`9/16 = (\text{side1}/\text{side2})^2`
Taking square root on both sides, we get
So, the ratio of their corresponding sides is 3 : 4.
Hence the correct answer is `a`
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