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Triangles DF and HJK are similar. Def has side lengths D equal 4, EF equal 6, and FD equal 8th period which of the following could be the side links of HJK?

Triangles DF and HJK are similar Def has side lengths D equal 4 EF equal 6 and FD equal 8th period which of the following could be the side links of HJK class=


Answer :

The possible side lengths of HJK are 6,9,12

Mathematically, when two triangles are similar, then the ratio of their sides are equal

For the first triangle, we have the side dimensions of 4, 6 and 8

This can be written in its lowest ratio as 2:3:4

Any triangle that would be of similar measure should have dimensions of same ratio

Thus, we have this as;

6:9:12

If we reduce this ratio using 3, we will have 2:3:4

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