Answer:
x = (3√34 + 1)/5 units
Explanation:
Let's solve for x, using the Pythagorean theorem, this way:
BC is the Hypotenuse of the triangle ABC
BC² = 15² + 9²
BC² = 225 + 81
BC² = 306
BC = √9 * 34
BC = 3 √34
Now, we can substitute and solve for x, this way:
BC = 3x + 2x - 1
3 √34 = 3x + 2x - 1
3√ 34 + 1 = 5x
x = (3√34 + 1)/5 units