Question

Using the triangle 45o -45o -90o theorem solve this triangle. please​

Answer 1

The length of the leg is 11 units.

Explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is
`√(2)` times of the length of any of the legs. Hence, we get the following expression:

`h = √(2) \cdot l` (1)

Where:

`l` - Length of the leg, in units.

`h` - Hypotenuse, in units.

If we know that
`h = 11√(2)`, then the length of the leg is:

`l = (h)/(√(2))`

`l = 11`

The length of the leg is 11 units.