Flashcard 8-1 to 8-3 Geometry Honors f24

Front

What is the formula for the height of an equilateral triangle?

Back

Height = (√3/2) * side length.

Front

What are the side ratios in a 30-60-90 triangle?

Back

1 : √3 : 2 (short leg : long leg : hypotenuse).

Front

What are the side ratios in a 45-45-90 triangle?

Back

1 : 1 : √2 (legs : hypotenuse).

Front

How do you determine if a triangle is a right triangle using the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.

Front

What is the value of x in a 30-60-90 triangle if the short leg is 3?

Back

x = 3√3 (long leg).

Front

What is the area of an equilateral triangle with side length s?

Back

Area = (√3/4) * s².

Front

If the hypotenuse of a 45-45-90 triangle is 8, what is the length of each leg?

Back

Each leg = 8/√2 = 4√2.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

How do you find the height of a triangle given the base and area?

Back

Height = (2 * Area) / base.

Front

What is the definition of an equilateral triangle?

Back

A triangle with all three sides of equal length.