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Find the Number of Triangles in the Star Puzzle.

$A geometric puzzle featuring a star with labeled points A through J, asking to find the number of triangles.$

A geometric puzzle featuring a star with labeled points A through J, asking to find the number of triangles.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet on Triangle | Homework on Triangle | Different types|Answers

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- First, look closely: After examining the entire figure, I can systematically identify all triangles. There are 5 large triangles that form the points of the star: AIE, BJC, DHE, FGB, and HJD. Additionally, there are 5 smaller triangles inside the central pentagon: IFJ, JHG, GFE, FEH, and HJI. This gives a total of 10 triangles.

- Next, find information: To ensure accuracy, I will verify this count by looking for any other possible combinations. For instance, are there any triangles formed by combining these smaller shapes? Upon review, no additional triangles can be formed without reusing the same vertices or lines in a way that doesn't create a new, distinct triangle.

- Then, review the findings: The systematic count confirms that there are exactly 10 triangles in the figure. The 5 large ones at the points and the 5 smaller ones inside the inner pentagon account for all possible triangles.

- Final Answer:
10

Parent Tip: Review the logic above to help your child master the concept of triangles math worksheet.

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$Addition Triangles - SKOOLGO$