The formula to calculate the length of the sides in a right-angled triangle using the 3-4-5 rule is:
\(a^2 + b^2 = c^2\)
Where:
The 3-4-5 rule is a mathematical principle used in construction and carpentry to create right angles. It is based on the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. By measuring 3 units along one side, 4 units along the other, and ensuring the diagonal between these two points measures 5 units, a right angle is formed.
Example 1:
Calculation:
\(3^2 + 4^2 = 5^2\)
\(9 + 16 = 25\)
\(25 = 25\)
Example 2:
Calculation:
\(6^2 + 8^2 = 10^2\)
\(36 + 64 = 100\)
\(100 = 100\)