Pythagorean Theorem worksheet with examples and practice problems for calculating missing side lengths of right-angled triangles.

A worksheet titled "Pythagorean Theorem" with two examples and nine problems involving right-angled triangles, each requiring the calculation of missing side lengths using the formula a² + b² = c². The worksheet includes labeled diagrams, numerical values, and spaces for answers.

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Final Answer:
1. $ c = \sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17 $ cm
2. $ c = \sqrt{30^2 + 16^2} = \sqrt{900 + 256} = \sqrt{1156} = 34 $ cm
3. $ c = \sqrt{75^2 + 40^2} = \sqrt{5625 + 1600} = \sqrt{7225} = 85 $ cm
4. $ b = \sqrt{25^2 - 15^2} = \sqrt{625 - 225} = \sqrt{400} = 20 $ cm
5. $ b = \sqrt{30^2 - 18^2} = \sqrt{900 - 324} = \sqrt{576} = 24 $ cm
6. $ b = \sqrt{52^2 - 20^2} = \sqrt{2704 - 400} = \sqrt{2304} = 48 $ cm
7. $ a = \sqrt{60^2 - 48^2} = \sqrt{3600 - 2304} = \sqrt{1296} = 36 $ cm
8. $ a = \sqrt{35^2 - 28^2} = \sqrt{1225 - 784} = \sqrt{441} = 21 $ cm
9. $ a = \sqrt{68^2 - 60^2} = \sqrt{4624 - 3600} = \sqrt{1024} = 32 $ cm

Parent Tip: Review the logic above to help your child master the concept of worksheet 1 8 pythagorean theorem work shown.

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