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How is the triangle inequality theorem different from the converse of the Pythagorean theorem?
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Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
What kind of triangle it used to describe for pythagorean inequality theorem?
Obtuse
What is the difference between the pythagorean theorem and the converse of the pythagorean theorem?
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
If a triangle has side lengths a b and c and if a2 b2 c2 then the converse of the Pythagorean theorem says that the triangle is an?
Right triangle (apex)
Consider a triangle with side lengths a and b and hypotenuse length c If then the converse of the Pythagorean theorem says that the triangle is a right triangle?
If it weren't, it wouldn't have a hypotenuse!
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
Does the pythagorean theorem have a converse?
Yes. If the square of the longest side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is right angled.
If a triangle has side lengths a b and c and if a2 plus b2 equals c2 then what does the converse of the Pythagorean theorem says about the triangle?
That it is a right triangle with the longest side c facing the right angle.
Which formula can be derived by using the Pythagorean theorem in the coordinate plane?
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
What set of numbers is a pythagorean triangle?
Pythagorean triplets
Which theroems are in a right triangle congruence?
In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Additionally, the converse of the Pythagorean theorem states that if the square of one side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
If a triangle is isosceles then it is equalateral. what is the converse?
The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
