In a triangle ABC, the base BC = 10 and the altitude from vertex A to base BC is 8. Find the area of

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In a triangle ABC, the base BC = 10 and the altitude from vertex A to base BC is 8. Find the area of the triangle.

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1:","type":"text"},{"type":"text","text":" The standard formula for the area of a triangle is:"}],"type":"paragraph"},{"attrs":{"latex":"\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2:","type":"text"},{"text":" We are given base ","type":"text"},{"attrs":{"latex":"BC = 10"},"type":"math_inline"},{"type":"text","text":" and altitude (height) "},{"attrs":{"latex":"h = 8"},"type":"math_inline"},{"text":". Substitute these values into the formula:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"\text{Area} = \frac{1}{2} \times 10 \times 8 = 5 \times 8 = 40"}},{"content":[{"text":"So the area of the triangle is ","type":"text"},{"attrs":{"latex":"40"},"type":"math_inline"},{"text":".","type":"text"}],"type":"paragraph"}],"type":"doc"}

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