the perimeter is 36 and the area is 144
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You can't as there is no hypotenuse in an equilateral triangle. The hypotenuse is the side of a triangle which is opposite a right angle (90°); all angles in an equilateral triangle are 60°.
If the triangle is equilateral, you simply divide the perimeter by three to find the length of each side. If the triangle is not equilateral, you will need more information to determine the length of each side.
By using Pythagoras' theorem
By using Pythagoras' theorem.
If a triangle is isosceles, then it is equilateral. To find the converse of a conditional, you switch the antecedent ("If ____ ...") and consequent ("... then ____."). (Of course, if not ALL isosceles triangles were equilateral, then the converse would be false.)