Exploring Special Right Triangles: 45-45-90 and 30-60-90

What is the length of the hypotenuse in a 45-45-90 triangle if one of the legs is 5 units?

• 10√2 units

• 5 units

• 5√2 units

• 10 units

What is the relationship between the lengths of the sides in a 45-45-90 triangle?

• Legs are equal, hypotenuse is leg√2

• Legs are equal, hypotenuse is 2√leg

• Hypotenuse is double the leg

• Legs are √2 times the hypotenuse

In a 45-45-90 triangle, if the leg is 10 units, what is the length of the hypotenuse?

• 10 units

• 5√2 units

• 20 units

• 10√2 units

In a 45-45-90 triangle, if the hypotenuse is 8√2 units, what is the length of each leg?

• 16 units

• 8 units

• 8√2 units

• 4 units

What is the length of the side opposite the 30-degree angle in a 30-60-90 triangle if the hypotenuse is 20 units?

• 20 units

• 10√3 units

• 10 units

• 20√3 units

In a 30-60-90 triangle, if the side opposite the 30-degree angle is 7 units, what is the length of the hypotenuse?

• 7√3 units

• 14 units

• 14√3 units

• 7 units

If the side opposite the 60-degree angle in a 30-60-90 triangle is 12 units, what is the length of the side opposite the 30-degree angle?

• 12√3 units

• 24 units

• 6 units

• 12 units

In a 30-60-90 triangle, if the side opposite the 60-degree angle is 8√3 units, what is the length of the hypotenuse?

• 8 units

• 4√3 units

• 16√3 units

• 16 units

How do you find the length of the side opposite the 60-degree angle in a 30-60-90 triangle?

• Multiply the hypotenuse by √3

• Divide the side opposite 30 degrees by √3

• Divide the hypotenuse by 2

• Multiply the side opposite 30 degrees by √3

If the hypotenuse of a 30-60-90 triangle is 30 units, what is the length of the side opposite the 30-degree angle?

• 15 units

• 30√3 units

• 30 units

• 15√3 units