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Geometry & MeasuresStudy Notes

Worked Example 2: Triangle

Part of Area of Rectangles & Triangles — GCSE Mathematics

This study notes covers Worked Example 2: Triangle within Area of Rectangles & Triangles for GCSE Mathematics. Revise Area of Rectangles & Triangles in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 6 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 7

Practice

12 questions

Recall

6 flashcards

Worked Example 2: Triangle

Find the area of a triangle with base 12 cm and perpendicular height 7 cm.

Step 1 Write the formula

Area = ½ × base × height

Step 2 Substitute values

Area = ½ × 12 × 7

Step 3 Calculate

Area = ½ × 84 = 42 cm²

Or: 12 × 7 = 84, then 84 ÷ 2 = 42

Keep building this topic

Read this section alongside the surrounding pages in Area of Rectangles & Triangles. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 1: RectangleWorked Example 3: Finding a Missing LengthWhat is Area?The Key Formulas

Practice Questions for Area of Rectangles & Triangles

Which formula gives the area of a rectangle with length l and width w?

  • A. 2(l + w)
  • B. l + w
  • C. l × w
  • D. (1/2) × l × w
1 markfoundation

Explain why the area formula for a triangle uses the perpendicular height rather than the slant height.

2 markshigher

Quick Recall Flashcards

Triangle Area
Area = ½ × base × perpendicular height (A = ½bh)
Rectangle Area
Area = length × width (A = l × w)

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Worked Example 1: Rectangle

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Worked Example 3: Finding a Missing Length