Area of Triangle Example

Grade 6Key Stage 3Årskurs 6

Problem

Find the area of a triangle with base 10 m and height 6 m.

📝Step-by-Step Solution

Recall the formula

The area of a triangle equals one-half times base times height.

Area = ½ × base × height (A = ½bh)

Identify the measurements

Base (b) = 10 m, Height (h) = 6 m. Note: Height must be perpendicular to the base.

Substitute into the formula

A = ½ × 10 × 6

Calculate step by step

First multiply: 10 × 6 = 60. Then halve it: 60 ÷ 2 = 30

½ × 60 = 30

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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📖More Area Formulas Examples

Area of Rectangle Example

Find the area of a rectangle with length 12 cm and width 7 cm.

Easy

Back to Area Formulas Guide

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