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If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
A right-angle triangle is half of a square or rectangle. Draw a square or rectangle and draw a line from one corner to the corner diagonally opposite. You now have two triangles of the same area.
What do you mean they are the same? The are calculated with different formulae, for a start. The area of a square is length x width. The area of a triangle is (1/2) x base x height, where the height must be measured perpendicular to the base.
The formula for area of a triangle is: A = H x B / 2 or Given a triangle with a height of 5 and a base of 3 then A = 5 x 3 / 2 A = 15/2 A = 7.5 In other words a Triangle has ½ the area of a square with the same two dimensions.