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 ____.

# 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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