Guys , how do i find the missing side of a triangle when i already have a side and the hypotenuse ????? thank you!



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.

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