Final answer:
The height of a triangle is 6m more than its base. The area of the triangle is 56m². The length of the base of the triangle is 7 meters.
Step-by-step explanation:
Let's assume the base of the triangle is x meters. According to the problem, the height of the triangle is 6 meters more than its base, so the height would be x + 6 meters.
The area of a triangle is given by the formula A = 1/2 * base * height.
Plugging in the values, we get 56 = 1/2 * x * (x + 6).
Simplifying this equation, we get 2x^2 + 12x - 112 = 0.
By factoring or using the quadratic formula, we find that x = 7 meters or x = -16 meters. Since the length cannot be negative, the length of the base of the triangle is 7 meters.
Learn more about Triangle properties