Shape 4 summary

Key learning points

• Identify the hypotenuse opposite the right angle.
• Choose SOH, CAH or TOA from the sides you know/need.
• Give exact or decimal answers as required.
• 3D questions reduce to right triangles in a plane.

Worked example 1 — Pythagoras

Legs 5 and 12. Hypotenuse?

Working

5-12-13 triple.

Worked example 2 — Identify the hypotenuse opposite the right angle

Use this method from the Shape 4 sheet: Identify the hypotenuse opposite the right angle.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Choose SOH, CAH or TOA from the sides you know/need

Use this method from the Shape 4 sheet: Choose SOH, CAH or TOA from the sides you know/need.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Give exact or decimal answers as required

Use this method from the Shape 4 sheet: Give exact or decimal answers as required.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — 3D questions reduce to right triangles in a plane

Use this method from the Shape 4 sheet: 3D questions reduce to right triangles in a plane.

Working

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.