FOR BRAINLIEST ANSWER THIS: The area of a triangle is 12 square meters . The base is 2 meters longer than the height Find the height of the triangle .

The height of the triangle is four meters.

Step-by-step explanation:

We are given that the area of a triangle is 12 square meters. The base is two meters longer than the height, and we want to determine the height of the triangle.

Recall that the area of a triangle is given by:

Since the area is 12 square meters:

The base is two meters longer than the height. In other words, we can write that:

Substitute:

Solve for h. Multiply both sides by two:

Distribute:

Isolate:

Factor:

Zero Product Property:

Solve for each case:

Since the height cannot be negative, we can ignore the first solution.

Thus, the height of the triangle is four meters.

step-by-step explanation:

kbmflmklbhml; bmlzb; bdhzz

step-by-step explanation: