The two triangles are similar. the sides of one are 6.8.13 cm. and the other 12.9 and x cm. find x

If the triangles are similar, the sides of one are proportional to the sides of the other.

Let’s calculate the coefficient of similarity. Comparing the sides of the first triangle with the known

sides of the second, you can find out that the corresponding sides are 9: 6 = 12: 8;

Similarity coefficient k = 1.5;

The third side of the first triangle is 13, which means the third side of the second triangle:

x = 13 * 1.5 = 19.5.