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Sample problems
A right triangle has a hypotenuse of 10 and one leg of 6. What is the length of the other leg? 8
A right triangle has a hypotenuse of 13 and one leg of 12. What is the length of the other leg? 5
A right triangle has a hypotenuse of 25 and one leg of 7. What is the length of the other leg? 24
A right triangle has a hypotenuse of 25 and one leg of 24. What is the length of the other leg? 7
A right triangle has a hypotenuse of 17 and one leg of 8. What is the length of the other leg? 15
A right triangle has a hypotenuse of 5 and one leg of 4. What is the length of the other leg? 3
A right triangle has a hypotenuse of 17 and one leg of 15. What is the length of the other leg? 8
A right triangle has a hypotenuse of 10 and one leg of 8. What is the length of the other leg? 6
These eight are one sample at medium difficulty — the generator makes a different set every time.
A worked example
A right triangle has a hypotenuse of 10 and one leg of 6. What is the length of the other leg? 8
a² + b² = c², so the missing leg² = 10² − 6²
10² = 100 and 6² = 36, so 100 − 36 = 64
Missing leg = √64 = 8
Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.
About these worksheets
Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.
Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.