Math Problem That Went Viral in 2020. Can you solve it?

TL;DR

A math problem involves dividing a square into unequal parts and finding the size of an unknown section.

Transcript

good day welcome to the tech maath Channel great little math problem here for you to solve what we have is we have a square and inside the Square from a central interior point we have four lines radiating out uh they're radiating out and they're hitting the midpoint of each one of these sides here so this line goes from the interior and hits the mi... Read More

Key Insights

• 🥳 The math problem involves dividing a square into unequal parts.
• 🍳 The solution process relies on breaking each part into two and identifying identical triangles with equal areas.
• 😊 The equation a + b + c + d = 72 helps solve the problem by summing the areas of the triangles on each side.
• 🔙 The value of B + C is determined to be 30, which contributes to the final answer.

Questions & Answers

Q: How is the problem in the video set up?

The video presents a square divided by four lines radiating from a central point, creating four unequal parts.

Q: What is the challenge in solving the math problem?

The challenge lies in determining the size of an unknown section of the square without using measurements, relying only on logic.

Q: How does the solution process begin?

The solution process starts by breaking each part of the square into two by drawing lines from the corners to the interior point.

Q: What do the identical triangles in the square indicate?

The identical triangles in the square have the same base and height, resulting in equal areas when paired together.

Q: How does the equation a + b + c + d = 72 help solve the problem?

By using the equation, the sum of the areas of the identical triangles on each side of the square can be determined.

Q: What are the values of a + b, c + d, and a + b + c + d?

The values of a + b and c + d are 24 and 48, respectively. The sum a + b + c + d is 72.

Q: How is the value of B + C determined?

The value of B + C is determined to be 30, as it equals the sum of a + d in the equation used in the solution.

Q: What is the final answer to the math problem?

The unknown section is determined to be 42 cm squared.

Summary & Key Takeaways

• The problem consists of a square with four lines radiating from a central interior point, dividing the square into four unequal parts.

• The unknown section's size needs to be determined by using logic, as the diagram is not drawn to scale.

• The solution involves breaking each part into two and noticing that identical triangles have the same area.