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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.

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15y ago

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Related Questions

What mathematician developed the pythagorean theroem?

Pythagoras


Is The pythagorean theroem derived from the distance formula?

the answer is false


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 are facts about The Pythagorean Theroem used in math?

Every circular object, item, drawing will always be aligned with Pi - it will never change


Does the Pythagorean Theorem work on squares?

No. The Pythagorean Theroem can ONLY be used on right triangles. Also, If you know one side of the square you know all sides of the square because a square has four equal sides.


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.


What is the mathematical definition for converse?

a converse is an if-then statement in which the hypothesis and the conclusion are switched.


What is the main purpose of Pythagorean's theroem?

It is for working out the side lengths of right angle triangles in which Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its two squared sides.


True or false a theroem is a statement that can be easily proved?

Neither. A theorem is a proven mathematical statement. This says nothing about how easily it can be proven. e.g. the Pythagorean Theorem is easily proven, but Fermat's Last Theorem is extremely difficult to prove.


What is the definition of a Converse theorem?

the opposite of the original concept your learning.


How Many Different Types Of Pythagorean Theorem There Is?

There are several types of Pythagorean theorems, primarily categorized into three main types: the standard Pythagorean theorem for right triangles, the generalized Pythagorean theorem for n-dimensional spaces, and the Pythagorean theorem in different number systems, like the Pythagorean triples in integers. Additionally, there are variations such as the converse Pythagorean theorem and applications in various geometric contexts. Each type maintains the core principle of the relationship between the sides of a right triangle or its generalized forms.


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)