Converse Of Pythagorean Theorem
Basically the converse states that whenever the sum of the squares of two sides equal to the square of the third side of the triangle the triangle is a right triangle. The converse of the pythagorean theorem is.
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For example given the following 3 sides is the triangle right.
Converse of pythagorean theorem. The conclusion the part after the then is that a squared plus b squared equals c squared. The converse is written in the reverse order. Whereas pythagorean theorem states that the sum of the square of two sides legs is equal to square of the hypotenuse of a right angle triangle.
Notice that the order is switched around. In the diagram above if c2 a2 b2. Use the triangle inequality to determine if a triangle can be formed.
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle. In the pythagorean theorem the hypothesis the part after the if is that it s a right triangle with legs a and b and hypothesis c. Converse of pythagoras theorem is defined as.
If square of a side is equal to the sum of square of the other two sides then triangle must be right angle triangle. Converse of the pythagorean theorem if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides then the triangle is a right triangle. The converse of the pythagorean theorem helps you to find out if a triangle is a right triangle.
The converse of the pythagorean theorem use the pythagorean theorem to determine if a triangle is acute right or obtuse.
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