Area of a Triangle Using Pythagoras' Theorem WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Area of triangles. Pythagoras' theorem.
Area of a Triangle Using Pythagoras' Theorem WORKSHEET DESCRIPTION
This worksheet helps students practise finding the area of a triangle using Pythagoras’ Theorem.
In Section A, students are shown a variety of triangles and must decide which ones require Pythagoras’ Theorem to work out the area. This encourages critical thinking and reinforces understanding of when Pythagoras’ Theorem can be used to find either the base or the height as required.
In Section B, learners are asked to calculate the area of several labelled triangles: including right angled, equilateral, and isosceles triangles. Pythagoras’ Theorem is needed to find missing side lengths before calculating the area in all cases. Diagrams are clearly laid out and varied in complexity.
In Section A, students are shown a variety of triangles and must decide which ones require Pythagoras’ Theorem to work out the area. This encourages critical thinking and reinforces understanding of when Pythagoras’ Theorem can be used to find either the base or the height as required.
In Section B, learners are asked to calculate the area of several labelled triangles: including right angled, equilateral, and isosceles triangles. Pythagoras’ Theorem is needed to find missing side lengths before calculating the area in all cases. Diagrams are clearly laid out and varied in complexity.
