Area of Triangle

base = 30, height = 12

Answer:

180.0 square units

Shape Visualization

Triangle with base 30 units and height 12 units

Step-by-Step Solution

1

Identify the formula for area of a triangle

A = ½ × base × height
2

Substitute the given values

A = ½ × 30 × 12
3

Multiply base by height

30 × 12 = 360
4

Multiply by ½ (divide by 2)

360 ÷ 2 = 180.0
5

Final answer

Area = 180.0 square units

Formula Used

A = ½ × base × height

This formula calculates the area of a triangle.

Real-World Applications

1

A triangular garden with base 30 meters and height 12 meters has an area of 180.0 square meters

2

A triangular sail with base 30 feet and height 12 feet covers 180.0 square feet

3

A triangular roof section measuring 30m base by 12m height = 180.0 m² of roofing material

Understanding Triangle Area

The area of a triangle is a fundamental concept in geometry. Area measures the amount of space inside a 2D shape, typically expressed in square units.

By using the formula A = ½ × base × height, we can quickly and accurately calculate the area for any triangle when we know the required measurements.

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