Question

Aright triangle with an area of X2-4 square units has a leg that measures

2x + 4 units.
Determine the length of the other leg of the triangle.

Answer 1

x - 2

Explanation:

First, we know that the area of a triangle can be found using the formula: a = 1/2(bh).

We also know that the area of this triangle can be represented by (x^2-4).

Lastly, we know that one of the legs (let's call it the base) can be represented by (2x+4).

Let's plug in those values to the original formula: x^2 - 4 = 1/2(2x + 4)h

Now, let's solve for h!

We can multiply both sides by 2, then divide each side by (2x + 4) to isolate/solve for h.

If you need help on dividing polynomials, feel free to reach out!! I'd be happy to explain.

h = (x - 2)