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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.4.MD.A.3

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.4.MD.A.3

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.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8