Answer :
Final answer:
Calculate the missing side lengths of the triangle on the right by using the ratios of corresponding sides from the two similar triangles. Then, find the perimeter by adding the three side lengths together.
Explanation:
To find the perimeter of a triangle, you must add together the lengths of all its sides. Since you mentioned that the triangles are similar, and you have provided the side lengths of both triangles, you can use the ratios of corresponding sides to calculate the missing side lengths.
Let's say the given triangle has sides of 16.4 cm, 36.9 cm, and 8 cm, and the triangle you're trying to find the perimeter of has corresponding sides of y cm, x cm, and 27 cm. The ratio for corresponding sides on similar triangles is the same, so we can use the longest sides to establish the ratio, which is 36.9 cm : x cm = 27 cm. We then use this ratio to find the the other sides in term of y and x.
Adding these together will give you the total perimeter of the triangle on the right.
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