Special Right Triangles 45 45 90

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 length of the hypotenuse is equal to the length of a leg multiplied by √2.

Front

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

Back

Multiply the length of the leg by √2.

Front

If the hypotenuse of a 45-45-90 triangle is 4√2 inches, what is the length of each leg?

Back

Each leg is 4 inches long.

Front

What is the formula for finding the diagonal of a square with side length 's'?

Back

The diagonal 'd' can be found using the formula d = s√2.

Front

If the leg of a 45-45-90 triangle is 7 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 7√2 cm.

Front

What is the value of √2 approximately?

Back

√2 is approximately 1.414.

Front

In a 45-45-90 triangle, what angles are present?

Back

The angles are 45°, 45°, and 90°.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

The ratio of the lengths of the legs to the hypotenuse is 1:1:√2.

Front

How can you express the length of the diagonal of a square with a side length of 95 in simplest radical form?

Back

The diagonal is 95√2.

Front

What is the significance of the 45-45-90 triangle in geometry?

Back

It is a special right triangle that has specific properties and relationships between its sides.