What is "given right triangle xyz?

A right triangle is a type of triangle in which one of the angles measures 90 degrees. In the case of triangle XYZ, angle Z is the right angle (90 degrees).

When a right triangle is given, typically information about the lengths of the sides or the measures of the angles is provided. This information can be used to calculate other important properties of the triangle, such as the lengths of the other sides or the measures of the other angles.

In addition to the lengths of the sides and the measures of the angles, some common properties of right triangles include the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Overall, given a right triangle XYZ, various calculations and deductions can be made to determine its properties and relationships between its sides and angles.