Beautiful Geometry: Find the Missing Triangle Area | Math Olympiad
Автор: Pragmatic Engineer
Загружено: 2025-12-26
Просмотров: 13
Описание:
A small triangle has area 3. What's the area of the large triangle?
Two equilateral triangles are inscribed in a semicircle — one pointing up with its apex touching the arc, the other inverted with a vertex on the arc. Given only that the small triangle has area 3, can you find the area of the larger triangle?
This elegant geometry problem uses:
• Properties of equilateral triangles
• Circle geometry and the Pythagorean theorem
• Ratio and proportion
ANSWER: Try solving it yourself before watching!
Timestamps:
0:00 - Problem Setup
0:45 - Understanding the Configuration
1:30 - Setting Up Variables
2:15 - Finding Key Relationships
3:30 - Solving the Equation
4:30 - Final Answer
#geometry #mathpuzzle #mathchallenge #triangles #semicircle #matholympiad #problemsolving
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