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Triangles ABC and DEF are similar. The lengths of the sides of ABC are 12, 15, and 20. The
length of the smallest side of DEF is 24. What is the length of the largest side of DEF?

Sagot :

Answer:

The length of the largest side of DEF is 40.

Step-by-step explanation:

Similar triangles' corresponding sides are proportional in length.

The smallest side of ABC is 12, and that is the corresponding side to the smallest side of DEF.

Calculate the proportional factor.

24 / 12 = 2.

Since similar triangles' sides are corresponding, the largest side of ABC will correspond with the largest side of DEF.

Calculate the largest side length.

20 * 2 = 40.

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