Construct a square ABCD with a side of 4 cm and draw segments AC and BD in it.

Construct a square ABCD with a side of 4 cm and draw segments AC and BD in it. What is the area of each of the four resulting triangles?

Given:
The side of the square ABCD is 4 centimeters.

Segments AC and BD are the diagonals of a square, they are equal in size to each other and divide the figure into four equal triangles.
To find the area of each triangle, you need to calculate the area of the square and divide it by four.
Let’s calculate the area of the quadrangle:
4 * 4 = 16 cm2.
Let’s calculate the area of each of the four resulting triangles:
16: 4 = 4 cm2.
Answer: the area of the triangle is 4 cm2.



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