Math 2: Midterm Review B

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: $$c^2 = a^2 + b^2$$ .

The area (A) of a triangle can be calculated using the formula: $$A = \frac{1}{2} \times base \times height$$ .

Complementary angles are two angles whose measures add up to 90 degrees.

Supplementary angles are two angles whose measures add up to 180 degrees.

To find the missing side of a right triangle, you can use the Pythagorean theorem: $$c^2 = a^2 + b^2$$ , where c is the hypotenuse.

In a right triangle, the sine of an angle (θ) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: $$\sin(θ) = \frac{opposite}{hypotenuse}$$ .

In a right triangle, the cosine of an angle (θ) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: $$\cos(θ) = \frac{adjacent}{hypotenuse}$$ .

In a right triangle, the tangent of an angle (θ) is defined as the ratio of the length of the opposite side to the length of the adjacent side: $$\tan(θ) = \frac{opposite}{adjacent}$$ .

The area (A) of a rectangle can be calculated using the formula: $$A = length \times width$$ .

A scalene triangle is a triangle in which all three sides have different lengths.