Exploring Special Right Triangles and Their Solutions

What is the hypotenuse of a 45-45-90 triangle if one leg is 4 units?

• 2√2 units

• 4 units

• 8 units

• 4√2 units

What is the pattern of side lengths for a 45-45-90 triangle?

• x, x, x√2

• x, x√2, 2x

• x, x, 2x

• x, 2x, x√3

How can you find the leg length of a 45-45-90 triangle given the hypotenuse is 15√2?

• 7.5 units

• 15 units

• 15√2 units

• 30 units

How can a 45-45-90 triangle be identified?

• Two 45-degree angles

• One 90-degree angle

• Two congruent sides

• All of the above

What is the length of the longer leg in a 30-60-90 triangle if the short leg is 7?

• 14√3 units

• 7√3 units

• 14 units

• 7 units

What is the pattern of side lengths for a 30-60-90 triangle?

• x, x√3, 2x

• x, 2x, x√2

• x, x, 2x

• x, x√2, x√3

How do you find the shorter leg of a 30-60-90 triangle given the hypotenuse is 18?

• 9 units

• 9√3 units

• 18√3 units

• 18 units

If the longer leg of a 30-60-90 triangle is 12√3, what is the length of the hypotenuse?

• 12 units

• 24 units

• 6 units

• 12√3 units

What is the hypotenuse of a 30-60-90 triangle if the short leg is 4√2?

• 8√2 units

• 4√6 units

• 8 units

• 4 units

If given the longer leg of a 30-60-90 triangle as 7√2, how do you find the short leg?

• 3.5 units

• 7√6 over 3 units

• 7 units

• 14 units