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pythagorean theorem

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Q: What formula of triangles says that the square of the hypotenuse id equal to the sum of the squares of the other two sides?
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Whose formula for triangles says that the square of the hypotenuse is equal to the sum of the squares of the other two sides?

Pythagoras' theorem


How do you make a parallelogram that is not a square from 4 identical isosceles right triangles?

Two isosceles right triangles, if joined hypotenuse-to-hypotenuse will make a square. Two squares, sided by side, make a rectangle which is a parallelogram, and not a square.


How are right triangles and squares related?

they have at least one right angle. A square is the union of two isosceles right triangles. The hypotenuse of each triangle is the diagonal of the square.


Will a pattern of right triangles and squares tessellate?

Yes. Consider the situation when: the right-angled triangles are also isosceles and the hypotenuse (longest side) of the triangles is equal to the side of the square. If you surround a square with four of right-angled triangles (the sides of the square being in contact with the hypotenuses of the triangles), you get a larger shape which is also a square. Taking this as a basic unit, you can make a tesselations. You can also make tessalations if you have two sets of squares, one with sides the same length of the hypotenuse of the triangles and one with sides the same length as the smaller sides of the triangles.


How do you find the diagonals of a square when you have the area of the square?

A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.


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.


Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?

It is Pythagoras' theorem that is applicable to right angle triangles.


Why does Pythagoras link to triangles?

He came up with the infamous Pythagoras' Theorem, which states that the square of the hypotenuse of a right angled triangle is equal to the sum of the squares of the other two sides: a2 = b2 + c2 ; where a is the hypotenuse.


What are the area square of the hypotenuse of 2 squares?

The answer will depend on the dimensions of the 2 squares


What are four ways to describe Pythagoras?

Four triangles can be arranged in a square. Area of square built upon hypotenuse of right angle is equal to the sum of the area of the squares upon the remaining sides.


How many squares and triangles form a square pyramid?

One square and four triangles.


What is the pythagorean theorem not just the formula?

The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the two adjacent sides.