# Right Triangle

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A Right Triangle is an triangle that contains a right angle and which satisfies the Pythagorean theorem.

## References

### 2015

• (Wikipedia, 2015) ⇒ http://wikipedia.org/wiki/Right_triangle
• QUOTE: A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus). Side a may be identified as the side adjacent to angle B and opposed to (or opposite) angle A, while side b is the side adjacent to angle A and opposed to angle B.
If the lengths of all three sides of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a Pythagorean triple.

### 1999

$a^2+b^2=c^2$
where the largest side is conventionally denoted c and is called the hypotenuse. The other two sides of lengths a and b are called legs, or sometimes catheti.