In calculating the area of the triangular foyer with a 4-foot base and a 4-foot height, which method is correct?

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Multiple Choice

In calculating the area of the triangular foyer with a 4-foot base and a 4-foot height, which method is correct?

Explanation:
The area of a triangle is found by taking one-half of the product of its base and its height. For this foyer, the base is 4 feet and the height is 4 feet, so the area is 1/2 × 4 × 4 = 8 square feet. Using the diagonal as the base isn’t appropriate here unless you know the corresponding height to that diagonal, which isn’t provided. Using a height of 8 or multiplying by 1 would not match the given measurements or the triangle area formula.

The area of a triangle is found by taking one-half of the product of its base and its height. For this foyer, the base is 4 feet and the height is 4 feet, so the area is 1/2 × 4 × 4 = 8 square feet.

Using the diagonal as the base isn’t appropriate here unless you know the corresponding height to that diagonal, which isn’t provided. Using a height of 8 or multiplying by 1 would not match the given measurements or the triangle area formula.

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