Calculating Hypotenuse and Triangle Properties

Rosalina wants to build a skateboard ramp shaped like a triangular prism with a right triangle base for stability. She sets the ramp's legs at 2 meters and 0.5 meters. To find the hypotenuse, she uses the Pythagorean theorem: a² + b² = c². Calculating, she finds the hypotenuse to be approximately 2.06 meters. Rosalina cuts the plywood and completes her ramp, demonstrating the practical application of the Pythagorean theorem.

What shape does Rosalina want her ramp to be?

• Rectangular prism

• Square prism

• Cylindrical prism

• Triangular prism

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

• To ensure stability

• For aesthetic purposes

• To save materials

• To make it easier to build

What are the lengths of the legs of the right triangle in Rosalina's ramp?

• 1 meter and 0.5 meters

• 2 meters and 1 meter

• 2 meters and 0.5 meters

• 1.5 meters and 0.5 meters

What is the purpose of calculating the hypotenuse in Rosalina's ramp?

• To determine the height of the ramp

• To find the length of the plywood needed

• To calculate the area of the ramp

• To measure the width of the ramp

Which mathematical theorem is used to find the hypotenuse of a right triangle?

• Pythagorean theorem

• Binomial theorem

• Euclidean theorem

• Fundamental theorem of calculus

What is the formula stated by the Pythagorean theorem?

• a^2 - b^2 = c^2

• a + b = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = c

What is the value of 0.5 squared?

• 0.25

• 0.5

• 1

• 0.75

What is the value of 2 squared?

• 8

• 6

• 4

• 2

What is the sum of 0.25 and 4?

• 4.5

• 4.25

• 4.75

• 5

What is the approximate length of the hypotenuse?

• 2.5 meters

• 3 meters

• 1.5 meters

• 2.06 meters