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31. how many triangles are shown? the triangles may overlap. 6 8 7 9

Question

  1. how many triangles are shown? the triangles may overlap. 6 8 7 9

Explanation:

Step1: Count small triangles

Count the non - overlapping small triangles. There are 4 small triangles: $\triangle QPT$, $\triangle QPR$, $\triangle RPS$, $\triangle SPT$.

Step2: Count large triangles

Count the large triangles formed by combining small triangles. There are 4 large triangles: $\triangle QTS$, $\triangle QRS$, $\triangle QTR$, $\triangle RTS$.

Answer:

8