Solving Two Equations in Two Variables: One is of the First Degree and the Other is of the Second Degree (Find the Chees

The video tutorial explains how to determine the dimensions of a triangular piece of cheese using algebraic methods. The problem involves a right-angled triangle with a known hypotenuse and perimeter. The tutorial guides through setting up equations based on the perimeter and Pythagorean theorem, leading to a quadratic equation. By solving these equations through substitution and factorization, the dimensions of the triangle are found to be 18 and 24 centimeters.

What is the perimeter of the triangular piece of cheese?

• 72 cm

• 100 cm

• 60 cm

• 90 cm

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

• X + y = 30

• X^2 + y^2 = 900

• X^2 + y^2 = 30

• X + y + 30 = 72

What theorem is used to derive the quadratic equation?

• Trigonometric identities

• Quadratic formula

• Pythagorean theorem

• FIFA Goris theory

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

• 20 or 22

• 18 or 24

• 15 or 25

• 10 or 30

What are the final dimensions of the triangle?

• 15 cm and 25 cm

• 18 cm and 24 cm

• 20 cm and 22 cm

• 10 cm and 30 cm