The sides of one triangle are 8cm, 6cm, 5cm. The smaller side of the second triangle, similar

The sides of one triangle are 8cm, 6cm, 5cm. The smaller side of the second triangle, similar to the first, is 2.5 cm. Find the other sides of the second triangle.

Find the coefficient of similarity of the two given triangles.

In the initial data for this task, it is reported that the smaller side of the second triangle, similar to the first, is 2.5 cm.

Since the length of the smaller side of the first triangle is 5 cm, the coefficient of similarity of the two given triangles, equal to the ratio of the lengths of the corresponding sides of these triangles, is 2.5 / 5 = 0.5.

Knowing the coefficient of similarity, we find the lengths of the sides of the second triangle:

8 * 0.5 = 4 cm;

6 * 0.5 = 3 cm.

Answer: 4 cm and 3 cm.



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