It is always very interesting to study right triangles and to find the unknown lengths by using pythagorean theorem. In this worksheet, you will learn about special right triangles and will find the length of unknowns. It will help you to use your existing concepts to study the special right triangles.

**What is a “Special Right Triangles”?**

There are three types of special right triangles, 30-60-90 triangles, 45-45-90 triangles and Pythagorean triple triangles.

**What are “30-60-90 Triangles”?**

A 30-60-90 right triangle has side ratios

They are for short Leg, Long Leg and hypotenuse, respectively.

**What are “45-45-90 Triangles”?**

A 45-45-90 right triangle has side ratios

** What are “Pythagorean Triple Triangles”?**

A Pythagorean number triple is a set of three whole numbers a, b and c that satisfy the Pythagorean Theorem

Pythagorean number triples are special right triangles with integer sides. While the angles are not integers, the side ratios are very useful to know because they show up everywhere. Knowing these number triples also saves a lot of time from doing the Pythagorean Theorem repeatedly.

**How will the “Special Right Triangles Mixed Practice Worksheet” help you?**

This worksheet will help you to learn the special right triangles and to find the unknown lengths of right triangles with the help of these special types.

**Instructions on how to use the “Special Right Triangles Mixed Practice Worksheet (with Answers Key)”**

Use this math worksheet to carefully study the concept of special right triangles. A 10-item activity is given after the lesson in order to exercise the learned concept.

Towards the end of this worksheet, a reflective section is provided in order to help the learner think about their own thinking (metacognition) and assess how they performed in the lesson.

**Conclusion**

At the end of this worksheet, the learner will effectively learn about special right triangles and solving unknown lengths of right triangles with the help of special cases.

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