Value of x. hypotenuse is the square route of 20 and one leg is x-2 other leg is x

Step-by-step explanation:

The Pythagorean Theorem is:

Where the hypotenuse is "a" and "b" and "c" are the legs of the triangle.

Knowing that:

Susbstitute values into the Pythagorean Theorem and solve for x:

Remember that the square a binomial is:

Then:

Use the Quadratic formula:

Choose the positive value.

Then:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.