triangular polygon
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A triangle with VERY round points is a circle. There is no geometric term for a triangle with rounded points, but a triangle with rounded sides is known as a Reuleaux triangle. It is similar to the shape used for the piston in a rotary engine.
right triangle
it is the side of a right angled triangle opposite to the right angle. It is the longest side of a right triangle.
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
The term "rectangle method" is used in different ways in math, but I will guess that your question is related to finding areas on a Geoboard. A Geoboard has a grid of pegs; you can make outlines of figures by stretching elastic bands around the pegs. If your figure is a triangle, you can find it's area by making the smallest rectangle which will enclose the triangle (The rectangle should have vertical and horizontal sides). The area of the rectangle can be found easily by multiplying the length by the width. The area of the triangle is half of the area of the rectangle.