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strojnjashka [21]
3 years ago
9

The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is

130cm2?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

<u>Hope this help</u>s

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