Problems

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In a square \(ABHI\) two smaller squares are drawn: \(ACFG\) with area equal to \(16\) and \(BCED\) with area equal to \(4\). Find the area of hexagon \(DEFGIH\).

If each of the small squares has an area of \(1\), what is the area of the triangle?

Divide the parallelogram into two parts such that they can be reassembled to make a triangle.

Cut a triangle into three parts, which can be reassembled into a rectangle.

If each of the small squares has an area of \(1\), what is the area of the triangle?

Each number denotes the area of the rectangle it is written into. What number should be written where the "?" character is?

Each number denotes the area of the rectangle it is written into. What number should be written where the "?" character is?

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In a trapezium \(ABCD\), the side \(AB\) is parallel to the side \(CD\). Prove that the areas of triangles \(\triangle ABC\) and \(\triangle ABD\) are equal.

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The triangle visible in the picture is equilateral. The hexagon inside is a regular hexagon. If the area of the whole big triangle is \(18\), find the area of the small blue triangle.