The sides of a triangle are 5 cm 6 cm and 7 cm and the two sides of a similar triangle are 15 and 18 cm

The sides of a triangle are 5 cm 6 cm and 7 cm and the two sides of a similar triangle are 15 and 18 cm. calculate the length of the third side.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

Similar triangles are triangles in which the angles are respectively equal, and the sides of one are respectively proportional to the sides of the other triangle.

In order to find the length of the third side of a triangle ΔА1В1С1 similar to this one, you need to find the coefficient of similarity of these triangles. The similarity factor is the number k equal to the ratio of the similar sides of similar triangles:

k1 = A1B1 / AB;

k2 = В1С1 / ВС;

k3 = A1C1 / AC;

k1 = k2 = k3.

k1 = 15/5 = 3;

k2 = 18/6 = 3.

Thus, to calculate the A1C1 side, you need to multiply the length of the AB side by the similarity factor:

A1C1 = AC · k;

A1C1 = 7 3 = 21 cm.

Answer: the length of the third side of the triangle ΔА1В1С1 is 21 cm.