Problem
Find the area of a triangle with base 10 m and height 6 m.
📝Step-by-Step Solution
1
Recall the formula
The area of a triangle equals one-half times base times height.
Area = ½ × base × height (A = ½bh)
2
Identify the measurements
Base (b) = 10 m, Height (h) = 6 m. Note: Height must be perpendicular to the base.
3
Substitute into the formula
A = ½ × 10 × 6
A = ½ × 10 × 6
4
Calculate step by step
First multiply: 10 × 6 = 60. Then halve it: 60 ÷ 2 = 30
½ × 60 = 30
5
Add square units
The area is 30 m² (square meters).
A = 30 m²
✅Final Answer
30 m²
A triangle's area is half of a rectangle with the same base and height. That's why we multiply by ½! Important: The height must be perpendicular (at 90°) to the base - it's not always a side of the triangle.
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