10.5 - Trigonometry and Triangle Area

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

How do you find the height of a triangle when given the area and base?

Back

Height = (2 * Area) / base

Front

What is the relationship between the sides of a right triangle and the angles?

Back

The sides opposite the angles are proportional to the sine of the angles.

Front

What is the sine of an angle in a right triangle?

Back

Sine = Opposite side / Hypotenuse

Front

What is the cosine of an angle in a right triangle?

Back

Cosine = Adjacent side / Hypotenuse

Front

What is the tangent of an angle in a right triangle?

Back

Tangent = Opposite side / Adjacent side

Front

If the area of a triangle is 31.5 units² and the base is 9 units, what is the height?

Back

Height = (2 * 31.5) / 9 = 7 units

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you determine the opposite side of an angle in a triangle?

Back

The opposite side is the side that does not touch the angle.

Front

What is the formula for the area of a triangle using two sides and the included angle?

Back

Area = 1/2 * a * b * sin(C), where a and b are sides and C is the included angle.