Question

1. Take a square sheet of area 225 sq. cm. Find the side of the sheet and create a beautiful
greeting card using tessellations with a mathematical quotation.
or ucina dot natterns Fxplore the triangular numbers 1, 3, 6, 10, 15​

Answer 1

Step-by-step explanation:

Square triangular number

Integer that is both a perfect square and a triangular number

For squares of triangular numbers, see squared triangular number.

In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a perfect square. There are infinitely many square triangular numbers; the first few are:

0, 1, 36, 1225, 41616, 1413721, 48024900, 1631432881, 55420693056, 1882672131025 (sequence A001110 in the OEIS)Square triangular number 36 depicted as a triangular number and as a square number.

Explicit formulas

Write Nk for the kth square triangular number, and write sk and tk for the sides of the corresponding square and triangle, so that

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