math

Term 1: Pythagorean Theorem
Definition 1: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. $a^2 + b^2 = c^2$.
Term 2: Right Triangle
Definition 2: A triangle with one angle measuring 90 degrees.
Term 3: Special Right Triangles
Definition 3: Triangles with angles measuring 30-60-90 and 45-45-90, which have specific ratio properties.
Term 4: Trigonometric Ratios
Definition 4: Ratios that relate the angles of a triangle to the lengths of its sides, including sine, cosine, and tangent.
Term 5: Law of Sine
Definition 5: A ratio that relates the lengths of the sides of a triangle to the sine of its angles: $\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}$.
Term 6: Law of Cosine
Definition 6: A rule stating that in any triangle, $c^2 = a^2 + b^2 - 2ab\cos(C)$, which relates the lengths of the sides to the cosine of one angle.
Term 7: Angle of Elevation
Definition 7: The angle formed by the line of sight and the horizontal line when looking up at an object.
Term 8: Angle of Depression
Definition 8: The angle formed by the line of sight and the horizontal line when looking down at an object.
Term 9: Word Problems Involving Right Triangles
Definition 9: Real-world problems that can be solved using the properties of right triangles and trigonometric ratios.