Step-by-step explanation:
To find the missing side of a right triangle when you have the hypotenuse and one other side, you can use the Pythagorean theorem:
``
a² + b² = c²
`
where:
a is the length of the missing side
b is the length of the known side
* c is the length of the hypotenuse
Steps to find the missing side:
1. Identify the known side and the hypotenuse. Label them as b and c, respectively.
2. Substitute the known values into the Pythagorean theorem: b² + a² = c².
3. Solve for a²: Subtract b² from both sides of the equation: a² = c² - b².
4. Take the square root of both sides: a = √(c² - b²).
Example:
If the hypotenuse is 10 cm and one side is 6 cm, then the missing side is:
`
a = √(10² - 6²) = √(100 - 36) = √64 = 8 cm
``
Therefore, the missing side is 8 cm.