Geometry - Solving Right Triangles

Front

What is 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): a² + b² = c².

Front

What are trigonometric ratios?

Back

Trigonometric ratios are relationships between the angles and sides of a right triangle, specifically sine, cosine, and tangent.

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

How do you find a missing angle in a right triangle when given two sides?

Back

You use inverse trigonometric functions (arcsin, arccos, arctan) to find the missing angle.

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is an example of using the Pythagorean Theorem?

Back

If one side of a right triangle is 3 units and the other side is 4 units, the hypotenuse can be found using a² + b² = c²: 3² + 4² = c², so c = 5.