The front of a traditional thatched house found in Portugal is the shape of a triangle. Suppose the base of the triangle is 1 m less than its height and the area of the triangle is 15 m^2. Find the height of the triangle. (Hint: Use A = 1/2bh.) How tall is the house? (IN METERS)

Given that the front of a traditional thatched house found in Portugal is the shape of a triangle.

The base of the triangle is 1 m less than its height.

The area of the triangle is 15 m²

We need to determine the height of the triangle.

Height of the triangle:

Let h represent the height of the triangle.

Let b represent the base of the triangle.

Since, it is given that "The base of the triangle is 1 m less than its height", it can be written in equation as,

Now, substituting , and in the area of the triangle formula,

Thus, we have;

Simplifying the terms, we have,

Factoring the terms, we get;

Equating the terms to zero, we get;

Since, h cannot take negative values, then

Thus, the height of the triangle is 6.

Hence, the house is 6 meters tall.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a