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If one side of a triangle is 9.5m and it...

If one side of a triangle is 9.5m and its corresponding altitude is 12 m then what will be the area of triangle.

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To find the area of the triangle given one side and its corresponding altitude, we can use the formula for the area of a triangle: **Step 1: Identify the base and height.** - Here, the base of the triangle is given as 9.5 m and the corresponding height (altitude) is 12 m. **Step 2: Use the area formula for a triangle.** - The formula for the area \( A \) of a triangle is: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \] **Step 3: Substitute the values into the formula.** - Substituting the base and height into the formula: \[ A = \frac{1}{2} \times 9.5 \, \text{m} \times 12 \, \text{m} \] **Step 4: Calculate the area.** - First, calculate \( 9.5 \times 12 \): \[ 9.5 \times 12 = 114 \, \text{m}^2 \] - Now, divide by 2 to find the area: \[ A = \frac{114}{2} = 57 \, \text{m}^2 \] **Final Answer:** - The area of the triangle is \( 57 \, \text{m}^2 \). ---
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