SOLUTION: Can a right triangle be scalene, isosceles, or equilateral? Why or why not? What are the advantages and disadvantages of classifying triangles by sides or angles?
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-> SOLUTION: Can a right triangle be scalene, isosceles, or equilateral? Why or why not? What are the advantages and disadvantages of classifying triangles by sides or angles?
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Question 667345: Can a right triangle be scalene, isosceles, or equilateral? Why or why not? What are the advantages and disadvantages of classifying triangles by sides or angles?
A 3-4-5 triangle is both right (by the Pythagorean Theorem) and scalene (by the definition of scalene). A 45-45-90 triangle is right because it contains a right angle and isosceles because sides opposite equal angles are equal. An equilateral triangle is also equiangular, so each angle of an equilateral triangle must measure 60 degrees (180 divided by 3), hence there cannot be a right angle in an equilateral triangle.
John
My calculator said it, I believe it, that settles it
