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What Postulate or theorem proves that these triangles are similar?

What Postulate or theorem proves that these triangles are similar?-example-1

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Solution

The Side-Angle-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.

Next

AC is corresponding to EC

BC is corresponding to DC


\begin{gathered} (AC)/(EC)\text{ = }(6)/(12)\text{ = }(1)/(2) \\ (BC)/(DC)\text{ = }(5)/(10)\text{ = }(1)/(2) \end{gathered}

The ratio of their corresponding sides is proportional.

Final answer

The Side-Angle-Side (SAS) Theorem

What Postulate or theorem proves that these triangles are similar?-example-1
User Yakira
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