Using the Pythagorean theorem for an isosceles right triangle with a 45-degree angle and a hypotenuse (c) of 3 units, the length of one leg (a) is approximately 2.1 units.
To find the length of a leg on this right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs. In other words, c^2 = a^2 + b^2.
Since the triangle has a 45-degree angle, it is an isosceles right triangle, which means that the two legs are equal in length. So, we can write c^2 = 2a^2.
Plugging in the value of c = 3, we get 3^2 = 2a^2.
Solving for a, we get a = 3/√2.
a = 2.1