SOLUTION: THE PERIMETER OF A CERTAIN SQUARE IS THE SAME AS THE PERIMETER OF A CERTAIN EQUILATERAL TRIANGLE. AN EQUILATERAL TRIANGLE IS A TRIANGLE IN WHICH ALL THREE SIDES HAVE THE SAME LENGT
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Question 347648: THE PERIMETER OF A CERTAIN SQUARE IS THE SAME AS THE PERIMETER OF A CERTAIN EQUILATERAL TRIANGLE. AN EQUILATERAL TRIANGLE IS A TRIANGLE IN WHICH ALL THREE SIDES HAVE THE SAME LENGTH. EACH SIDE OF THE TRIANGLE IS 1 INCH LONGER THAN A SIDE OF THE SQUARE. HOW LONG IS A SIDE OF THE SQUARE? HOW LONG IS A SIDE OF THE TRIANGLE? Answer by solver91311(24713) (Show Source):
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Let represent the measure of a side of the square. Then represents the measure of a side of the triangle. The perimeter of the square is then and the perimeter of the triangle is . Since the perimeters are equal:
Solve for
John
My calculator said it, I believe it, that settles it