Discover how to classify triangles by sides or by angles, then answer the following questions.[br][br][i]Drag the vertices to explore different triangles.[/i]
Determine whether the following statement is true or false. [br]If it is true, draw a triangle that satisfies the given condition; if it is false, explain the reason for your answer, possibly by providing a counterexample.[br][br]"[i]A scalene triangle cannot be obtuse[/i]."
Determine whether the following statement is true or false. [br]If it is true, draw a triangle that satisfies the given condition; if it is false, explain the reason for your answer, possibly by providing a counterexample.[br][br]"[i]An equilateral triangle can be obtuse[/i]."
Determine whether the following statement is true or false. [br]If it is true, draw a triangle that satisfies the given condition; if it is false, explain the reason for your answer, possibly by providing a counterexample.[br][br]"[i]A scalene triangle can be a right triangle[/i]."
Consider the following sets:[br][i]T[/i] = {[i]x[/i] | [i]x[/i] is a triangle} [br][i]E[/i] = {[i]x[/i] | [i]x[/i] is an equilateral triangle} [br][i]I[/i] = {[i]x[/i] | [i]x[/i] is an isosceles triangle} [i][br]S[/i] = {[i]x[/i] | [i]x[/i] is a scalene triangle} [br]Represent the classification of triangles by sides, using Venn diagrams.
Consider the following sets:[br][i]T[/i] = {[i]x[/i] | [i]x[/i] is a triangle} [br][i]R[/i] = {[i]x[/i] | [i]x[/i] is a right triangle} [br][i]A[/i] = {[i]x[/i] | [i]x[/i] is an acute triangle} [i][br]O[/i] = {[i]x[/i] | [i]x[/i] is an obtuse triangle} [br]Represent the classification of triangles by angles, using Venn diagrams.