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Detailed Explanation: Area of a Triangle FormulaThe area of any triangle can be calculated using the following formula:Area = ½ × base × heightOr written another way:Area = (base × height) ÷ 2 Given Information- Base (b)= 10 centimeters- Height (h)= 6 centimeters Step-by-Step CalculationStep 1:Multi…
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Detailed Explanation: Area of a Triangle FormulaThe area of any triangle can be calculated using the following formula:Area = ½ × base × heightOr written another way:Area = (base × height) ÷ 2 Given Information- Base (b)= 10 centimeters- Height (h)= 6 centimeters Step-by-Step CalculationStep 1:Multiply the base by the height- base × height = 10 cm × 6 cm = 60 cm²Step 2:Divide the result by 2 (or multiply by ½)- 60 cm² ÷ 2 = 30 cm²Area = 30 square centimeters (cm²)• Why This Formula WorksThe formula works because:- A rectangle with the same base and height would have area = base × height- A triangle is exactly half of that rectangle (if you cut a rectangle diagonally)- Therefore, the triangle's area is half of the rectangle's area• Visual Representation * /| / | height = 6 cm / | / | /___ |____ base = 10 cmThe height must be the perpendicular distance from the base to the opposite vertex (not the slanted side length).So the final answer is 30 cm² shorten it and make it simple
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