Solve the right triangle ABC, with C=90∘, A=33.8∘, b=25.7 cm
(Simplify answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
Solving a Right Triangle through Trigonometry:
The application of the three basic trigonometric ratios and their respective inverse functions is the general approach used to solve a right triangle. This is because such a strategy determines one missing component given two components in each trigonometric function considered.
In addition to this, the principle and theorem below are also used for solving missing components of a right triangle:
Sum of the Interior Angles of a Triangle - this states that the sum of the interior angles of a triangle is equal to 180∘
Pythagorean Theorem - this states that the square of the longest side also called the hypotenuse is equal to the sum of the squares of the two shorter adjacent sides.