Here are the essential concepts you must grasp in order to answer the question correctly.
Right Triangle Properties
A right triangle has one angle measuring 90 degrees, and the relationships between its sides and angles are governed by trigonometric ratios. The sides are typically referred to as the opposite, adjacent, and hypotenuse. Understanding these properties is essential for applying trigonometric functions to find unknown lengths and angles.
Recommended video:
Trigonometric Ratios
Trigonometric ratios, including sine, cosine, and tangent, relate the angles of a triangle to the lengths of its sides. For a given angle in a right triangle, sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side. These ratios are fundamental for solving for unknown sides and angles.
Recommended video:
Introduction to Trigonometric Functions
Angle and Side Calculations
To solve a right triangle, one must calculate the unknown angles and side lengths using the known values and trigonometric functions. In this case, with one angle and the hypotenuse given, the other angles can be found using the fact that the sum of angles in a triangle is 180 degrees, and the lengths of the sides can be determined using the appropriate trigonometric ratios.
Recommended video:
Finding Missing Side Lengths