Geometry Chapter 9.1 and 9.2 - Block 3v2

Front

What is a 45-45-90 triangle?

Back

Front

What is the formula for the area of a triangle?

Back

Front

How do you simplify the square root of a number?

Back

To simplify the square root of a number, factor the number into its prime factors, and then pair the factors. Each pair can be taken out of the square root as a single factor.

Front

What is the Pythagorean theorem?

Back

Front

What is the distance formula in a coordinate plane?

Back

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

Front

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

Back

You can use sine, cosine, or tangent ratios to find the lengths of sides in a right triangle. For example, if you know an angle and the length of one side, you can use: sin(angle) = opposite/hypotenuse, cos(angle) = adjacent/hypotenuse, or tan(angle) = opposite/adjacent.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: Perimeter = a + b + c, where a, b, and c are the lengths of the sides.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is crucial in applying the Pythagorean theorem.