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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a cyclic quadrilateral?
π‘ Hint: Think about the shape and its relation to a circle.
Question 2
Easy
What does Brahmagupta's formula calculate?
π‘ Hint: Consider the measurements needed for area calculation.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for the area of a cyclic quadrilateral?
- A = (ab)
- A = β[s(sβa)(sβb)(sβc)(sβd)]
- A = (base Γ height) / 2
π‘ Hint: Think of the formula that includes semi-perimeter.
Question 2
Brahmagupta's formula is applied only to which type of quadrilateral?
- True
- False
π‘ Hint: Consider the definition of cyclic quadrilaterals.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A cyclic quadrilateral has side lengths of 7, 9, 10, and 12. Prove that the area you calculate using Brahmagupta's formula is the same as if you divided it into triangles.
π‘ Hint: Break down into triangles and apply their respective area formulas.
Question 2
Deduce why Brahmagupta's formula only applies to cyclic quadrilaterals, contrarily explain through inductive reasoning.
π‘ Hint: Use inscribed angle property and relationships between angles and arcs.
Challenge and get performance evaluation