Trigonometry Review

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 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

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the sine function 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 function 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 function 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

How do you find the height of a tree using shadows?

Back

You can use similar triangles to find the height of a tree by setting up a proportion between the height of the tree and the length of its shadow compared to a known height and shadow length.

Front

What is the relationship between angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

How do you calculate the length of a side in a triangle using the sine rule?

Back

The sine rule states that the ratio of a side length to the sine of its opposite angle is constant for all three sides: a/sin(A) = b/sin(B) = c/sin(C).

Front

What is the sum of the angles in any triangle?

Back

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