The sides of one triangle are 12cm, 18cm and 24cm, and the two sides of a similar triangle

univerkov | August 5, 2021 | education

The sides of one triangle are 12cm, 18cm and 24cm, and the two sides of a similar triangle are 12cm and 8cm. Find the length of the third side.

Let us find the coefficient of similarity of these triangles as the ratio of the lengths of their respective sides.

12: 8 = 18: 12 = 3/2.

Let us find the length of the third side of a similar triangle as the product of the corresponding side of the original triangle by the coefficient of similarity.

24 * 3/2 = 12 * 3 = 36 cm.

Answer: third party 36 cm.

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