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Pythagoras – Calculate Missing Lengths in Right Angled Triangles worksheet

Suitable for Year groups: 9, 10, 11
GCSE Tier:
Foundation/Higher
Targeting grades: 1-3
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Prerequisite knowledge: Identifying the hypotenuse. Square and square roots
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Pythagoras – Calculate Missing Lengths in Right Angled Triangles worksheet description

Learners will practise calculating the longest side and a shorter side in right-angled triangles with this bumper Pythagoras worksheet.

Firstly, students will work on squaring and square rooting numbers and expressions in section A.

Then in section B, there are twelve right-angled triangles in different orientations for learners to use Pythagoras’ theorem to calculate the missing lengths. Starting with four questions where they will be calculating a shorter side of the triangle and progressing to a mixture of both. This helps to increase your learners' flexibility when working with the formula.

All but three answers are integers to allow your students to focus on applying the formula.

This write-on worksheet has plenty of space for students to methodically right down the formula and their workings each time.

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