Understanding 45-45-90 Triangles

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

• 1:1:√2

• 1:2:√3

• 1:1:2

• 1:√2:√3

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

• 10

• 5

• 10√2

• 5√2

In a 45-45-90 triangle, if one leg is 7, what is the hypotenuse?

• 14√2

• 7√2

• 14

• 7

How do you simplify 10/√2 to remove the radical from the denominator?

• Add √2

• Multiply by √2/√2

• Multiply by 2/2

• Divide by √2

If the legs of a 45-45-90 triangle are 9, what is the hypotenuse?

• 9√2

• 18

• 9

• 18√2

What is the length of the hypotenuse if the legs of a 45-45-90 triangle are 5?

• 10

• 5√2

• 10√2

• 5

In a 45-45-90 triangle, if the hypotenuse is 9√6, what is the length of each leg?

• 18

• 9√2

• 9

• 9√3

How do you express 9/√2 in simplest form?

• 9√2/2

• 9/2

• 9√3/2

• 9√6/2

What is the simplified form of 5/√2?

• 5√3/2

• 5/2

• 5√2/2

• 5√6/2

What is the next step after finding the hypotenuse in a 45-45-90 triangle problem?

• Subtract the hypotenuse from the legs

• Add the hypotenuse to the legs

• Use the hypotenuse to find the missing side

• Multiply the hypotenuse by 2