Exploring Special Right Triangles in Geometry

The video tutorial covers special right triangles, focusing on isosceles right triangles and 30-60-90 triangles. It explains the patterns and properties of these triangles, demonstrating how to solve problems using these patterns. The tutorial provides examples and concludes with a summary of the rules for each type of triangle.

What shape is used to derive an isosceles right triangle?

• Square

• Rectangle

• Hexagon

• Circle

What is the formula for the hypotenuse in an isosceles right triangle?

• x * sqrt(2)

• x / 2

• x * sqrt(3)

• 2x

How do you find the leg of an isosceles right triangle when given the hypotenuse?

• Multiply the hypotenuse by sqrt(2)

• Divide the hypotenuse by sqrt(2)

• Divide the hypotenuse by 2

• Square the hypotenuse

How is the leg of an isosceles right triangle related to its hypotenuse?

• Leg = Hypotenuse * sqrt(2)

• Leg = Hypotenuse / sqrt(2)

• Leg = Hypotenuse * 2

• Leg = Hypotenuse / 2

What triangle is derived from an equilateral triangle?

• Isosceles right triangle

• 45-45-90 triangle

• Equilateral triangle

• 30-60-90 triangle

In a 30-60-90 triangle, if the side across from the 30° angle is x, what is the hypotenuse?

• x * sqrt(3)

• x

• 2x

• x * sqrt(2)

In a 30-60-90 triangle, what is the side length across from the 60° angle if the side across from the 30° angle is x?

• x * sqrt(3)

• 2x

• x

• x * sqrt(2)

How do you find the side length across from the 30° angle in a 30-60-90 triangle when given the hypotenuse?

• Multiply the hypotenuse by 2

• Multiply the hypotenuse by sqrt(3)

• Divide the hypotenuse by 2

• Divide the hypotenuse by sqrt(3)

What is the relationship between the sides of a 30-60-90 triangle?

• x, x sqrt(2), 2x

• x, 2x, x sqrt(3)

• x, x sqrt(2), x sqrt(3)

• x, 2x, 3x

In a 30-60-90 triangle, if the side across from the 60° angle is known, how do you find the side across from the 30° angle?

• Divide by 2

• Multiply by 2

• Divide by sqrt(3)

• Multiply by sqrt(3)