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Recognizing special right triangles in geometry can help you to answer some questions quicker.

There are two types of special right triangles and they have the following properties:

45°-45°-90° triangle

In this triangle, the important thing to remember is that the legs have equal length.

45-45-90-degrees-triangle

Formula: Hypotenuse = √(2)×(Leg)

30°-60°-90° triangle

30-90-degrees-triangle

Formulas

 Long Leg = (√3) × (Short Leg)

 Hypotenuse = 2. short leg

You can also use the Pythagorean theorem, but if you can see that it is a special triangle it can save you some calculations.

What follows is a PowerPoint presentation that will help you understand the content of the lesson in a better and easier way, (pps).

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