Question

Haruki 有一根长 $24$ 厘米的铁丝。他想把它分别弯成下面各图形。

边长为 $5$ 厘米的正六边形。

面积为 $36$ 平方厘米的正方形。

两条直角边分别为 $6$ 和 $8$ 厘米的直角三角形。

Haruki 能弯成哪些图形？

Haruki has a piece of wire that is $24$ centimeters long. He wants to bend it to form each of the following shapes, one at a time.

A regular hexagon with side length $5$ cm.

A square of area $36$ cm².

A right triangle whose legs are $6$ and $8$ cm long.

Which of the shapes can Haruki make?

只有三角形

Triangle only

只有六边形和正方形

Hexagon and square only

只有六边形和三角形

Hexagon and triangle only

只有正方形和三角形

Square and triangle only

三种都可以

Hexagon, triangle, and square

答案：D

知识点：周长勾股数

难度评级：720

视频讲解：

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文字解答：

正六边形的周长是 $6\cdot5=30$ 厘米，对这根铁丝来说太长。面积为三十六的正方形边长为 $6$ ，所以周长为 $24$ 。直角三角形的斜边为 $10$ ，所以周长为 $6+8+10=24$ 。因此 Haruki 只能弯成正方形和三角形。

The regular hexagon would have perimeter $6\cdot5=30$ , too long for the wire. The square has side length $6$ , so its perimeter is $24$ . The right triangle has hypotenuse $10$ , so its perimeter is $6+8+10=24$ . Haruki can make the square and the triangle only.

2026 AMC 8 第 3 题

答案：D

难度评级：720

视频讲解：

文字解答：

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