The base of a triangle is (6h+16) centimeters. The height of the triangle (3h-8) is centimeters. Find the area of the triangle.
The base of a triangle is (6h + 16) centimeters. The height of the triangle is (3h – 8) centimeters.
Find the area of the triangle.
The base of a triangle is (6h + 16) centimeters. The height of the triangle is (3h – 8) centimeters.
Find the area of the triangle.
The base of a triangle is (6h+16) centimeters. The height of the triangle (3h-8) is centimeters. Find the area of the triangle.
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To find the area of a triangle, you need the measurements of the base and the height. In this case, the base of the triangle is given as (6h+16) centimeters, and the height is given as (3h-8) centimeters.
The formula to calculate the area of a triangle is:
Area = (1/2) * Base * Height
So, substituting the given values into the formula, we have:
Area = (1/2) * (6h+16) * (3h-8)
To calculate the area, we need to simplify the expression. Start by distributing the factors inside the parentheses:
Area = (1/2) * (18h^2 + 48h - 8h - 16)
Next, combine like terms:
Area = (1/2) * (18h^2 + 40h - 16)
Now, multiply each term inside the parentheses by (1/2) to simplify further:
Area = 9h^2 + 20h - 8
Therefore, the area of the triangle is represented by the equation 9h^2 + 20h - 8 square centimeters.