What is """given right triangle def"?

A given right triangle def, likely referring to definitions and properties associated with right triangles, encompasses several key concepts. A right triangle is a triangle containing one angle that measures exactly 90 degrees (a right angle). The side opposite the right angle is called the hypotenuse, and it is always the longest side of the triangle. The other two sides are called legs (or cathetus).

Important theorems and definitions related to right triangles include:

• The Pythagorean Theorem: a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.

• Trigonometric Ratios: sine (sin), cosine (cos), and tangent (tan), which relate the angles of the triangle to the ratios of its sides. (SOH CAH TOA is a common mnemonic).

• Special right triangles: These are right triangles with specific angle measures, such as the 45-45-90 triangle and the 30-60-90 triangle, which have predictable side ratios.

• Area of a Right Triangle: (1/2) * base * height, where the base and height are the two legs.