Which Pythagorean identity is correct?
2 answers:
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1. The Side Angle Side (SAS) similarity theorem states that:
If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.
2. That is, we notice the equivalent ratios:
so
then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem.
If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.
2. That is, we notice the equivalent ratios:
so
then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem.