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Who proofed that the square on the hypotenuse is equal to the sum of the squares on the other two sides of any right angled triangle?
Pythagoras.
What is the 4 mistakes of this phrase The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side?
The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 1. squares, not square roots 2. right triangle, not isosceles 3. sides opposite the hypotenuse, not any two 4. What are the mistakes, not what is
What Greek mathematician is credited with creating the theorem of the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse?
Pythagoras.
Can 1 3 5 be the side lengths of a right triangle?
No, because the biggest length (hypotenuse) has to be equal to the square root of the sum of the squares of the other two sides, which it is not
Can you make a rectangle out of two triangles and a square?
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
What is the square of the hypotenuse?
The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.
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.
What is the square of the hypotenuse of a right triangle is equal to the sum of the squares of the sides?
It is Pythagoras' theorem
In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?
Yes
Pythagorean theorem says that the triangle is a?
A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
What if the sum of the squares of the sides of a right triangle is not equal to the square of the hypotenuse?
then the triangle is not a right trangle and has angles that are not 90 degrees.
What is the formula for the pythagorean formula?
The square of the hypotenuse of a right triangle ("h") is equal to the sum of the squares of the other two sides of the right triangle ("a" and "b"): h2 = a2 + b2. hypotenuse is equal to square root of a2+b2.
What does pythagarean theorem state?
In a right triangle the square of hypotenuse is equal to the sum of squares of the other two sides
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
What theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
the Pythagorean Theorem
