Final answer:
The dimensions of the triangle are Base = 40 cm, and Altitude = 30 cm.
Step-by-step explanation:
To find the dimensions of the triangle, we need to solve the given equation for the base and altitude. The area of a triangle is given by the formula: Area = 1/2 * Base * Altitude. We are given that the area of the triangle is 600 sq. cm. Let's assume the altitude is x cm, then the base will be x + 10 cm. Substituting these values into the area formula, we get: 600 = 1/2 * (x + 10) * x.
Simplifying the equation, we have: 600 = 1/2 * (x^2 + 10x). Multiplying both sides by 2, we get: 1200 = x^2 + 10x. Rearranging the equation to solve for x, we have: x^2 + 10x - 1200 = 0. Now, we'll factorize the quadratic equation to find the values of x: (x + 40)(x - 30) = 0. Therefore, the possible values for the altitude are x = -40 and x = 30. Since the altitude cannot be negative, we can take x = 30 cm.
Now, we can calculate the base of the triangle: Base = x + 10 = 30 + 10 = 40 cm. Therefore, the dimensions of the triangle are: Base = 40 cm, Altitude = 30 cm.