Questions: Look at this convex polygon. How many triangles are formed by drawing all the diagonals from a single vertex?

Look at this convex polygon.

How many triangles are formed by drawing all the diagonals from a single vertex?
Transcript text: Look at this convex polygon. How many triangles are formed by drawing all the diagonals from a single vertex? $\square$ Submit Work it out
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Solution

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Solution Steps

Step 1: Identify the polygon

The given polygon is a quadrilateral, specifically a rhombus, because it has four sides.

Step 2: Choose a vertex

Select any vertex of the rhombus.

Step 3: Draw diagonals

From the chosen vertex, draw diagonals to all non-adjacent vertices. In a quadrilateral, there are two other vertices which are not adjacent to the chosen vertex. Drawing lines to these vertices forms two triangles.

Final Answer

2

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