Special Right Triangles Practice

Front

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

Back

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

Front

What is the relationship between the side length and diagonal of a square?

Back

The diagonal (d) of a square with side length (s) is given by the formula: d = s√2.

Front

What is the height of a 30-60-90 triangle if the shorter leg is 'x'?

Back

The height (longer leg) is x√3.

Front

What is the height of a 45-45-90 triangle if the leg length is 'x'?

Back

The height (hypotenuse) is x√2.

Front

If a square has a diagonal of length 'd', what is the side length?

Back

The side length (s) can be found using: s = d/√2.

Front

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

Back

Area = (√3/4) * s².

Front

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

Back

The ratio is 1:√3:2 (shorter leg: longer leg: hypotenuse).

Front

In a 45-45-90 triangle, what is the ratio of the lengths of the legs to the hypotenuse?

Back

The ratio is 1:1:√2 (leg: leg: hypotenuse).

Front

What is the height of an equilateral triangle with side length 26 cm?

Back

The height is 13√3 cm.

Front

If the side length of a square is 's', what is the formula for its perimeter?

Back

Perimeter = 4s.