Pythagorean Theorem

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as a² + b² = c².

The Pythagorean Theorem applies to right triangles.

5 (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).

5.

13 (Using the Pythagorean Theorem: 5² + 12² = 25 + 144 = 169; √169 = 13).

Square root.

'c' represents the length of the hypotenuse of a right triangle.

12 (Using the Pythagorean Theorem: a² + 35² = 37²; a² + 1225 = 1369; a² = 144; a = 12).

Yes, right triangles can be found in various real-life applications, such as in construction and architecture.

You can rearrange the Pythagorean Theorem: a = √(c² - b²) or b = √(c² - a²).