1.pre-RMO 2015 set a - HBCSE
... 9. A 2 × 3 rectangle and a 3 × 4 rectangle are contained within a square without overlapping at any interior point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square? [25] 10. What is the greatest possible perimeter o ...
... 9. A 2 × 3 rectangle and a 3 × 4 rectangle are contained within a square without overlapping at any interior point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square? [25] 10. What is the greatest possible perimeter o ...
Triangular number
... other within parentheses, is the standard mathematical notation for a binomial coefficient that counts the number of distinct pairs to be selected from n + 1 objects. In this form the triangular number Tn solves the "handshake problem" of counting the number of handshakes if each person in a room fu ...
... other within parentheses, is the standard mathematical notation for a binomial coefficient that counts the number of distinct pairs to be selected from n + 1 objects. In this form the triangular number Tn solves the "handshake problem" of counting the number of handshakes if each person in a room fu ...
UNIT 3 Pythagoras` Theorem Activities
... of 2 small squares is equal to area of bigger square. area of A + area of B = area of C (d) Area of C = 25 cm 2 Length of sides of C = 5 cm Length of hypotenuse = 5 cm 5. Length of hypotenuse = 13 cm ...
... of 2 small squares is equal to area of bigger square. area of A + area of B = area of C (d) Area of C = 25 cm 2 Length of sides of C = 5 cm Length of hypotenuse = 5 cm 5. Length of hypotenuse = 13 cm ...
Mathematics and architecture
Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.