Flashcard - Special Right Triangles

Front

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

Back

The height (h) of an equilateral triangle can be calculated using the formula: h = (√3/2) * s.

Front

In a 30-60-90 triangle, what is the relationship between the lengths of the sides?

Back

The lengths of the sides are in the ratio 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the long leg, and 2 is the length of the hypotenuse.

Front

How do you find the short leg of a 30-60-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by 2.

Front

How do you find the long leg of a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by √3.

Front

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

Back

The area (A) of an equilateral triangle can be calculated using the formula: A = (√3/4) * s².

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

In a 45-45-90 triangle, what is the relationship between the legs and the hypotenuse?

Back

In a 45-45-90 triangle, the legs are of equal length, and the hypotenuse is √2 times the length of one leg.

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

Multiply the length of one leg by √2.

Front

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

Back

The perimeter (P) of an equilateral triangle can be calculated using the formula: P = 3 * s.

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 8 (2 times the short leg).