The sides of the triangle are 2 cm 5 cm 6 cm. Find the larger side of a similar triangle

| August 14, 2021 | education

The sides of the triangle are 2 cm 5 cm 6 cm. Find the larger side of a similar triangle, the remitter of which is 26 cm.

Similar triangles are triangles, the angles of which are respectively equal, and the sides of one are proportional to the similar sides of the other triangle. That is, the area should also be proportional.
Let’s calculate the area of ​​one triangle: 2 + 5 + 6 = 13 cm. Divide the area of ​​the large triangle (26 cm) by the area of ​​the small one (13 cm), we get 2. This means that the sides of the large triangle are 2 times larger than the sides of the small one. Let’s calculate the sides of the big triangle: 2 * 2 = 4 cm, 5 * 2 = 10 cm, 6 * 2 = 12 cm. Let’s check if we counted the sides correctly: 4 + 10 + 12 = 26 cm – perimeter. Right.
Answer: the large side of such a triangle is 12 cm.



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