What is "given right triangle mno?

Given a right triangle MNO, we know the following:

• One of the angles, let's say angle O, is a right angle, measuring 90 degrees.

• The side opposite the right angle (MN in this case) is called the hypotenuse, which is the longest side of the triangle.

• The other two sides (MO and NO) are called legs (or cathetus).

• The Pythagorean theorem applies: MO² + NO² = MN² (leg1² + leg2² = hypotenuse²).

• The angles M and N are acute angles, meaning they are each less than 90 degrees.

• The sum of the angles M and N is 90 degrees (M + N = 90°), since the sum of all angles in a triangle is 180 degrees.

• Trigonometric ratios (sine, cosine, tangent) can be used to relate the angles and side lengths. For example, sin(M) = opposite/hypotenuse = NO/MN.