Pythagorean Theorem Applications

Rosalina wants to build a skateboard ramp shaped as a triangular prism with a right triangle base. She knows the height and hypotenuse of the triangle and uses the Pythagorean theorem to find the missing side. The video explains the theorem and demonstrates its application to solve for the unknown side, allowing Rosalina to complete her ramp.

What shape is Rosalina's ramp designed to be?

• Cylindrical

• Spherical

• Triangular prism

• Rectangular prism

Why does Rosalina want the base of the ramp to be a right triangle?

• For aesthetic purposes

• To make it easier to build

• To ensure stability

• To save materials

What is the purpose of Rosalina's ramp?

• To serve as a bridge

• To transport goods

• To perform tricks

• To act as a shelter

What is the height of the ramp?

• 2 meters

• 1.5 meters

• 1 meter

• 0.5 meters

What is the length of the hypotenuse of the ramp's right triangle?

• 1 meter

• 2 meters

• 3 meters

• 4 meters

What material does Rosalina use for the face of the ramp?

• Concrete

• Plywood

• Plastic

• Metal

Which mathematical theorem is used to find the unknown leg of the ramp?

• Euclidean algorithm

• Fundamental theorem of calculus

• Binomial theorem

• Pythagorean theorem

What is the first step in applying the Pythagorean theorem?

• Measuring the angles

• Finding the perimeter

• Calculating the area

• Identifying the hypotenuse

What is the formula of the Pythagorean theorem?

• a^2 + b = c^2

• a^2 - b^2 = c^2

• a + b^2 = c^2

• a^2 + b^2 = c^2

If a is 1 and c is 2, what is the value of b^2?

• 4

• 1

• 2

• 3