Right Triangle

Definition of a right triangle

A right triangle is a triangle that has one right angle, meaning an angle of 90 degrees. Based on the fact that the sum of angles in any triangle is 180 degrees, we can conclude that the sum of the two remaining angles in a right triangle is 90 degrees. This means that both angles must be acute (less than 90 degrees).

Right Triangle

Here are some examples of right triangles:

Examples of right triangles

Exercise

For example, let's take any right triangle. It is known that one of the angles in this triangle is 45 degrees. We are asked to find the second acute angle in the given triangle.

Since this is a right triangle, meaning one of the angles equals 90 degrees, we can calculate and find that the second acute angle will be equal to 45 degrees. Why? Because it complements the first given acute angle to 90 degrees.

Diagram of a right triangle labeled with angles: B = 90°, C = 45°, and A = ?. The triangle illustrates a problem-solving exercise to determine the missing angle A using the triangle sum theorem. Featured in a tutorial on understanding angles in a right triangle.

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