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Answer:
Perimeter of larger triangle is 40.
Step-by-step explanation:
Given:
Perimeter of smaller circle = 16
Ratio of corresponding side = 2:5
We need to find the perimeter of the larger triangle.
Solution:
Let the perimeter of the larger triangle be 'x'.
Therefore by theorem which states that;
" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".
Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5
framing in equation form we get;
Substituting the values we get;
By Cross multiplication we get;
Dividing both side by 2 we get;
Hence Perimeter of larger triangle is 40.