What is "given right triangle rst?

Given a right triangle RST, here's some information:

• Definition: A right triangle is a triangle that contains one interior angle that measures exactly 90 degrees. This angle is called a right angle.

• Vertices: RST refers to the vertices (corners) of the triangle. One of these vertices (R, S, or T) is where the right angle is located.

• Sides: The sides of the triangle are referred to by the letters of the vertices connecting them (RS, ST, TR).

• Hypotenuse: The side opposite the right angle is called the hypotenuse. It is the longest side of the right triangle.

• Legs (or Cathetus): The two sides that form the right angle are called the legs (or cathetus).

• Pythagorean Theorem: This theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (legs). Mathematically, if c is the length of the hypotenuse and a and b are the lengths of the legs, then a² + b² = c².

• Trigonometric Ratios: Right triangles are the foundation of trigonometry. Common trigonometric ratios like sine (sin), cosine (cos), and tangent (tan) relate the angles of the triangle to the ratios of its sides.

• Area: The area of a right triangle can be calculated as (1/2) * base * height, where the base and height are the lengths of the two legs forming the right angle.