Question

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

Answer 1

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is $\sqrt{2}$ times of the length of any of the legs. Hence, we get the following expression:

$h = \sqrt{2} \cdot l$ (1)

Where:

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

$h$ - Hypotenuse, in units.

If we know that $h = 11\sqrt{2}$, then the length of the leg is:

$l = \frac{h}{\sqrt{2}}$

$l = 11$

The length of the leg is 11 units.