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Grade 10 special right triangles worksheets

HSG-SRT.C.8 Measurement and geometry

Printable special right triangles worksheets for grade 10, aligned to Common Core standard HSG-SRT.C.8. 45-45-90 and 30-60-90.

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Sample problems

  1. A 45-45-90 triangle has legs of 2. What is the hypotenuse? 2·√2
  2. In a 30-60-90 triangle the short leg is 10. What is the hypotenuse? 20
  3. A 45-45-90 triangle has legs of 9. What is the hypotenuse? 9·√2
  4. In a 30-60-90 triangle the short leg is 7. What is the hypotenuse? 14
  5. A 45-45-90 triangle has legs of 12. What is the hypotenuse? 12·√2
  6. In a 30-60-90 triangle the short leg is 8. What is the hypotenuse? 16
  7. In a 30-60-90 triangle the short leg is 5. What is the hypotenuse? 10
  8. A 45-45-90 triangle has legs of 3. What is the hypotenuse? 3·√2

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

A 45-45-90 triangle has legs of 2. What is the hypotenuse? 2·√2

  1. In a 45-45-90 triangle the hypotenuse is leg × √2
  2. 2 × √2 = 2·√2

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.

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