Honors Geometry - Solving Triangles

Front

What is the Law of Sines?

Back

Sin(A)/a = Sin(B)/b = Sin(C)/c

Front

What is the formula for the Law of Cosines?

Back

c² = a² + b² - 2ab cos(C)

Front

When do you use the Law of Cosines?

Back

When three sides of a triangle are known.

Front

What is the Law of Cosines used for?

Back

To find a missing side or angle in a triangle when two sides and the included angle are known.

Front

What is the relationship defined by the Law of Sines?

Back

The ratio of the sine of an angle to the length of the opposite side is constant.

Front

What is the formula for finding the area of a triangle using the Law of Sines?

Back

Area = (1/2)ab sin(C)

Front

What is the Pythagorean theorem?

Back

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

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.