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Calculate the lateral area of the following equilateral triangular-based pyramid.

Calculate the lateral area of the following equilateral triangular-based pyramid.

Answer

The lateral area of an equilateral triangular-based pyramid can be calculated by finding the area of one of the triangular faces and multiplying it by the number of faces (3 for a triangular pyramid).

Each triangular face is an equilateral triangle with a base of 8 cm and a slant height of 10 cm.

The area of one triangular face is given by the formula: Area = 0.5 × base × height.

Substituting the given values: Area = 0.5 × 8 cm × 10 cm = 40 cm².

Since there are 3 triangular faces, the total lateral area is: 3 × 40 cm² = 120 cm².

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