Mathematics
Grade9
Easy
Question
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
- 13 : 14
- 4 : 5
- 15 : 16
- 11 : 12
Hint:
In similar triangles, Ratio of area of similar triangles is equal to Ratio of square of scale factor (or) Ratio of square of corresponding sides.
The correct answer is: 4 : 5
In similar triangles, Ratio of area of similar triangles is equal to Ratio of square of scale factor (or) Ratio of square of corresponding sides.
Ratio of area of similar triangles = Ratio of square of scale factor.
Therefore, scale factor of the similar triangles is 4:5 .
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