Question

En un triángulo, la altura es 2 unidades mayor que la base asociada a ella. Si el área del

triángulo mide 12 cm², ¿cuánto mide la altura del triángulo?

Answer 1

The height of the triangle is 6 units.

Step-by-step explanation:

Let's assume that the base of the triangle measures x units. According to the information given, the height of the triangle is 2 units greater than the base. So, the height can be represented as x + 2 units.

The area of a triangle is given by the formula A = (1/2) * base * height. Substituting the given values, we have 12 = (1/2) * x * (x + 2).

Multiplying out the equation and rearranging it, we get x^2 + 2x - 24 = 0. Factoring the equation, we have (x - 4)(x + 6) = 0.

Since the base cannot be negative, the value of x must be 4 units. Therefore, the height of the triangle is 4 + 2 = 6 units.

Learn more about Triangle area and height