Two triangles are similar, one side is 3 cm, the other 3.5 cm, the third side is 4 cm. A similar side of 1 is 12 cm. Find the other sides of all triangles.
Similar triangles are called triangles with the same corresponding angles and, accordingly, proportional sides. Two triangles are given, the sides of the first triangle: 3 cm, 3.5 cm, 4 cm. For the second triangle, only the first side is known, equal to 12 cm, corresponding to the first side of the first triangle. Let’s find the coefficient of similarity, which is equal to the ratio of two respective sides:
k = 12/3;
k = 4 (the sides of the larger triangle are 4 times the sides of the smaller triangle);
3.5 * 2 = 7 cm – the second side of the second triangle;
4 * 4 = 16 cm – the third side of the second triangle.
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