Solving two equations in two variables, one is of first degree and the other is of second degree

The video tutorial explains how to determine the dimensions of a triangular piece of cheese using its perimeter and the Pythagorean theorem. The problem is set up by forming two equations: one linear and one quadratic. By solving these equations, the dimensions of the triangle are found to be 18 and 24 centimeters.

What is the perimeter of the triangular piece of cheese?

• 60 cm

• 72 cm

• 90 cm

• 100 cm

Which equation represents the relationship between X, Y, and the hypotenuse?

• X + Y + 30 = 72

• X^2 + Y^2 = 30

• X + Y = 30

• X^2 + Y^2 = 900

What is the quadratic equation derived from the Pythagorean theorem?

• X^2 + Y^2 = 30

• X^2 + Y^2 = 900

• X^2 - 42X + 432 = 0

• X^2 + 42X = 900

What are the possible values of X after solving the quadratic equation?

• 10 and 30

• 20 and 22

• 18 and 24

• 15 and 25

What are the final dimensions of the triangle?

• 18 cm and 24 cm

• 10 cm and 30 cm

• 15 cm and 25 cm

• 20 cm and 22 cm