Thursday

September 18, 2014

September 18, 2014

Posted by **Ian** on Tuesday, June 5, 2012 at 6:36pm.

- calculus -
**MathMate**, Tuesday, June 5, 2012 at 9:44pmThe square S is cut into 5 pieces by S2, namely the square S2, and 4 triangles at each of the four corners.

If you flip each of the four triangles at the four corners about the sides of S2 so they go inside of S2, you will find that the sum of the areas of the four triangles equal to the area of S2.

In other words, the area of S2 is half that of S (16/2=8).

Similarly, S3's area is half that of S2 (8/2=4), and so on.

Draw a diagram, or even better, cut out a square piece of paper and demonstrate the above.

**Answer this Question**

**Related Questions**

Analytic Geometry - A square is a quadrilateral with four equal sides. The area ...

maths - Let ABCD be a square with side legnth 7cm. Another square KLMN is ...

geometry - a large square has sides of 24 units, midpoints of its sides are ...

geometry/math - How do I find the area and perimeter of a square when all I'm ...

Math problem solving investigation: guess and chec - The area of each square is ...

6th grade math - The area of each square is twice the area of the next smaller ...

math - Area A sequence of smaller squares is formed by connecting the midpoints ...

math - Area A sequence of smaller squares is formed by connecting the midpoints ...

geometry - Curtis constructed a line segment from each vertex of a triangle that...

Geometry - A square with sides of is inscribed in a circle. What is the area of ...