Classifying Triangles

Determine whether the following statement is true or false. 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. "A scalene triangle cannot be obtuse."

Determine whether the following statement is true or false. 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. "An equilateral triangle can be obtuse."

Determine whether the following statement is true or false. 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. "A scalene triangle can be a right triangle."

Consider the following sets: T = {x | x is a triangle} E = {x | x is an equilateral triangle} I = {x | x is an isosceles triangle} S = {x | x is a scalene triangle} Represent the classification of triangles by sides, using Venn diagrams.

Consider the following sets: T = {x | x is a triangle} R = {x | x is a right triangle} A = {x | x is an acute triangle} O = {x | x is an obtuse triangle} Represent the classification of triangles by angles, using Venn diagrams.