The Pythagorean Theorem is a fundamental mathematical principle that relates to right-angled triangles. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
To fully understand and explain the Pythagorean Theorem, one can go through the following steps:
1. Identify the right-angled triangle: Look for a triangle with one angle measuring 90 degrees (a right angle).
2. Identify the sides of the triangle: Label the sides of the right-angled triangle as the hypotenuse (the side opposite the right angle) and the two legs (the two sides adjacent to the right angle).
3. Write down the formula: The Pythagorean Theorem can be represented as a formula: a^2 + b^2 = c^2, where 'a' and 'b' are the lengths of the legs of the right-angled triangle, and 'c' is the length of the hypotenuse.
4. Substitute the values: Plug in the lengths of the legs into the formula. Take the square of each length and add them together.
5. Calculate the square root: Take the square root of the sum of the squares of the lengths of the legs. The result will be the length of the hypotenuse.
By following these steps tell me Which statement explains the Pythagorean theorem