Right triangle, Law of Sines & Cosines Review for Test

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

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 the angle opposite that side is constant for all three sides and angles of the triangle.

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).

Front

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

Back

You can use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

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

Back

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

Front

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

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If A = 30° and B = 75°, what is angle C?

Back

Angle C can be found using the fact that the sum of angles in a triangle is 180°: C = 180° - A - B = 75°.

Front

How do you solve for a side using the Law of Sines?

Back

Use the formula: a/sin(A) = b/sin(B) = c/sin(C) to find the unknown side.

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.