45-45-90 Triangles

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

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

Front

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

Back

The length of the hypotenuse is x√2.

Front

How do you find the length of a leg if the hypotenuse is known in a 45-45-90 triangle?

Back

To find the length of a leg, divide the length of the hypotenuse by √2.

Front

What is the formula for the perimeter of a square?

Back

The perimeter of a square is P = 4s, where 's' is the length of a side.

Front

How do you calculate the diagonal of a square given the side length?

Back

The diagonal 'd' of a square can be calculated using the formula d = s√2, where 's' is the length of a side.

Front

If a square has a perimeter of 32 inches, what is the length of each side?

Back

Each side of the square is 8 inches.

Front

What is the formula for the area of a square?

Back

The area of a square is A = s², where 's' is the length of a side.

Front

In a 45-45-90 triangle, if one leg measures 4 units, what is the length of the hypotenuse?

Back

The hypotenuse measures 4√2 units.

Front

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

Back

The diagonal of a square is √2 times the length of a side.