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a scalene triangle has no lines of symmetry
If you're talking about convex polygons with equal sides (eg. equilateral triangles, squares, pentagons, hexagons, etc.), then the relationship is a very direct one. In those cases, there are as many lines of symmetry as there are points in the polygons. A triangle has three lines of symmetry, a square has four, a pentagon five, etc.
There is only one set of perpendicular lines in a right triangle; the horizontal line and the vertical line that make it 90 degrees.
Area of equilateral triangle = (b x h)/2 = 9√ 3 sq in For an equilateral triangle, b2 = h2 + (b/2)2 = h2 + b2/4 h2 = 3b2/4 : h = (b/2)√ 3 Substituting for h in the Area formula [b x (b/2)√ 3]/2 = 9√ 3 : b2/4 = 9 : b2 = 36 : b = 6 Therefore the perimeter measures 3 x 6 = 18"