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The height of a triangle is 5 units more than its base. The area of the triangle is 18 units less than the square of the base. Find the area of the triangle

Question

The height of a triangle is 5 units more than its base. The area of the triangle is 18 units less than the square of the base. Find the area of the triangle.

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Solution

To solve this problem, we need to use the formula for the area of a triangle, which is 1/2 * base * height. We also know that the height is 5 units more than the base, and the area is 18 units less than the square of the base.

Let's denote the base as x. Then the height is x + 5.

According to th

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