This math topic focuses on applying the Pythagorean theorem to find the length of the hypotenuse in triangles. It involves calculating missing side lengths as decimal values given the other two sides. The problems encourage mastery in identifying Pythagorean triples and enhancing skills in computational operations within the context of geometry. The problems are progressively numbered and potentially increase in complexity, requiring a precise understanding of the theorem to compute accurate results. This practice is essential for understanding fundamental concepts in triangle geometry and prepares learners for more complex applications in mathematics.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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Triples - Length of Hypotenuse
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Find the length of the missing side as a decimal value based on the Pythagorean theorem
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Use Pythagorean triples to solve the missing length on the larger triangle
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Pythagorean triples are integer solutions to the Pythagorean equation. 3, 4, and 5 is the most common one, but 5, 12, and 13 would be another.
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For any Pythagorean triple, you can also multiply the numbers by a whole number to create another Pythagorean triple. We can see that 6, 8, and 10 shares two numbers with our triangle.
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Since it has a shared right angle and two shared sides, it's a similar triangle, so the missing hypotenuse must be 10
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Pythagorean Triples - Length of Hypotenuse Worksheet
| Math worksheet on 'Pythagorean Triples - Length of Hypotenuse (Level 3)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/ |
| Find the length of the missing side as a decimal value based on the Pythagorean theorem |
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| Find the length of the missing side as a decimal value based on the Pythagorean theorem |
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| Find the length of the missing side as a decimal value based on the Pythagorean theorem |
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| Find the length of the missing side as a decimal value based on the Pythagorean theorem |
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| Find the length of the missing side as a decimal value based on the Pythagorean theorem |
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