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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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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.
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)
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.
How can you use the converse of the pythagorean theorem to tell whether three given lengths can be sides of triangles?
* To find the hypotenuse, take the square root of (a2 + b2). * To find either of the two shorter sides, take the square root of (c2 - b2)
What is the converse of if a shape is a rectangle then it is a parallelogram?
~(A => B) is ~B => ~A That is to say, the converse of "A implies B" is "the converse of B implies the converse of A". In this case: If a shape is not a parallelogram then it is not a rectangle.
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.
When was the Pythagorean Theroem created?
In was first created 5000 years ago in ancient Egypt to make barriers to keep the river from overflowing. They made knots on ropes to make a 3,4,5 triangle and used that to make a slope to keep the river from overflowing.
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)
