Question

Triangle ABC has side length of 14, 8 and 10.4 what are the possible side lengths of a triangle DEF if ABC is similar to DEF

Answer 1

Answer:

DEF can have possible side lengths of 28, 16, 20.8

Step-by-step explanation:

Triangle Similarity

If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).

Triangle ABC has side lengths of 14, 8, and 10.4.

Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.

For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:

DEF can have possible side lengths of 28, 16, 20.8

Any other scale factor will do.