For a triangle to exist, the sum of the shorter two sides must be longer than the third side.
true
true
All triangles have exactly three sides. This is true whether the triangle is equilateral or not. If the triangle is equilateral, then the three sides will all be equal in length.All triangles have three sides.
true
False because it does not comply with Pythagoras' theorem.
TRUE
true
True
true
A scalene triangle is one that has three lengths of different sizes. It is quite possible for a right triangle to have three sides of different length.
False.
Three side lengths can form a triangle if they satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.
True because it complies with Pythagoras' theorem.
A triangle can be formed if the lengths of the three sides satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For example, if you have sides of lengths 3, 4, and 5, you can check: 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Since all these conditions hold true, a triangle can indeed be formed with these side lengths. If any of the inequalities fail, a triangle cannot be formed.
Sometimes. "Scalene" simply means that the three sides have different lengths. This does not imply that the triangle has to have an obtuse angle.
In a triangle, if all of the angles are 60 degrees, then all three sides of the triangle are equal to each other. Basically, if the angles are equal than the sides must be equal. This kind of triangle is called an equilateral triangle.
true