Question

An equilateral triangle is cut from its vertices to form a regular hexagon. Find the percentage of area wasted.

Answer 1

33.33 % of the area is wasted if an equilateral triangle is cut from its vertices to form a regular hexagon.

Step-by-step explanation:

Let ABC be the equilateral triangle,

As we know,

There are nine equilateral triangles that can be used to form the equilateral Δ.

When a regular hexagon is cut off from them, three Δs ΔADE, ΔBIH, and ΔCFG are wasted and the rest 6 remain in the hexagon.

Thus, the area wasted

= (3/9 * 100)%

= (1/3 * 100)%

= 33.33%

Therefore, 33.33 % of the area is wasted.

Learn more: find the area

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