MathematicsThe perimeter of two similar triangles ABC and PQR are 35 cm and 45 cm respectively. Then, the ratio of the areas of the two triangles is ____.

The perimeter of two similar triangles ABC and PQR are 35 cm and 45 cm respectively. Then, the ratio of the areas of the two triangles is ____.


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    Solution:

    Here, ABC and PQR are the two similar triangles.
    Area of similar triangles theorem:
    Perimeters of two similar triangles and are and .
    Property of similarity of triangles:
    Thus,
     Substitute the value of perimeters of two similar triangles:
    Applying Area of similar triangles theorem and substitute the value of eq 2:
    Hence, the ratio of the areas of the two triangles is:   
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