# How many triangles and rectangles do three geometrical figures lying on the table have 10 vertices?

July 25, 2021 | education

| 1) Determine how many triangles are on the table, if we know that it has 3 vertices, and there are 10 vertices of three geometric shapes on the table. We draw up an equation where:

X – triangles;

3 – X – rectangles;

10 – peaks.

3X + 4 (3 – X) = 10;

3X + 12 – 4X = 10;

-X = 10 – 12;

-X = -2;

X = 2 triangles.

2) Find out the number of rectangles lying on the table if we know that there are only 3 figures and 2 of them are triangles.

3 – 2 = 1 rectangle.

Answer: there are 2 triangles and 1 rectangle on the table.

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