Solving Triangles

Front

What is a right triangle?

Back

A right triangle is a triangle in which one of the angles measures 90 degrees.

Front

What is the Pythagorean theorem?

Back

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): c² = a² + b².

Front

How can you determine if a set of numbers can form a right triangle?

Back

To determine if a set of numbers can form a right triangle, check if the largest number squared equals the sum of the squares of the other two numbers.

Front

What is the sine function in a right triangle?

Back

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine function is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent function is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

You can find the length of a side by using the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the side you are trying to find.

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C).

Front

What is the Law of Cosines?

Back

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles: c² = a² + b² - 2ab*cos(C).