2026 AMC 8 Problem 3
Attempt Problem 3 of the 2026 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Haruki has a piece of wire that is centimeters long. He wants to bend it to form each of the following shapes, one at a time.
A regular hexagon with side length cm.
A square of area cm².
A right triangle whose legs are and cm long.
Which of the shapes can Haruki make?
Triangle only
Hexagon and square only
Hexagon and triangle only
Square and triangle only
Hexagon, triangle, and square
Answer: D
Small hint:
Compare each shape’s perimeter with
Big hint:
The right triangle has hypotenuse
Video solution:
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Written solution:
The regular hexagon would have perimeter , too long for the wire. The square has side length , so its perimeter is . The right triangle has hypotenuse , so its perimeter is . Haruki can make the square and the triangle only.
Problem 3 in other years
- 1985 AMC 8
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