What is "given right triangle abc?

A right triangle has one 90 degree angle and is typically denoted by the symbol ∆. In the case of triangle ABC, angle C is the 90 degree angle. The side opposite the right angle is called the hypotenuse, which is side AB.

The other two sides of the right triangle are called the legs. In triangle ABC, sides AC and BC are the legs. The relationship between the sides of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a^2 + b^2 = c^2.

Additionally, right triangles have special trigonometric ratios that relate the angles of the triangle to the sides. These ratios include sine, cosine, and tangent, which can be used to solve for unknown side lengths or angle measures in a right triangle.

Given a right triangle ABC, you can use the information about the angles and sides to calculate missing measurements or solve geometric problems related to the triangle.