Answer :
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.