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which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
What Is the Statement of Pythagoras theorem?
Pythagoras ' theorem states that in a right angled triangle ABCAB2+BC2 = AC2, where AB and BC are the perpendicular sides of the triangle and AC is the hypotenuse(the longest side).
What is the triangle sum theorem?
The theorem that states every triangle's angles add up to 180 degrees
What triangle measures 2m 4m and 7m?
The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.
Pythagoras theorem will always work in what type of triangle?
Pythagoras theorem will always work with a right-angled triangle.
Which of the following is the statement of the Triangle Inequality Theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
What does the triangle inequality theorem state?
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
What kind of triangle it used to describe for pythagorean inequality theorem?
Obtuse
What is the triangle inequality theorem?
It's the statement that in any triangle, the sum of the lengths of any two sides must be greater or equal to the length of the third side.
What type of triangle is the pythagorean theorem?
The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
What is the Hinge Theorem is based on?
SAS Inequality Theorem the hinge theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
What Is the Statement of Pythagoras theorem?
Pythagoras ' theorem states that in a right angled triangle ABCAB2+BC2 = AC2, where AB and BC are the perpendicular sides of the triangle and AC is the hypotenuse(the longest side).
What is a statement that has been deductively proven?
A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
A statement that can be proved easily using a theorem or a definition?
fact
Can 8 7and 16 be the lenghts of the sides of a triangle?
No, By the triangle inequality theorem (or something like that), the sum of any two sides of a triangle must add up to be greater than the third side. 8+7
What do the Pythagorean theorem variables stand for?
Since the Pythagorean Theorem deals with the relationship among the lengths of the sides of a right triangle, it is altogether fitting and proper, and a fortuitous coincidence, that the variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.
