Kanye wants to make a triangular flower bed using logs with the lengths 3 ft, 4 ft, and 8ft. Can Kanye form a triangle with the logs without cutting any of them? Explain.

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EnderGG EnderGG

09-03-2016
Mathematics

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Kanye wants to make a triangular flower bed using logs with the lengths 3 ft, 4 ft, and 8ft. Can Kanye form a triangle with the logs without cutting any of them? Explain.

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shoot4damoon shoot4damoon · Answer 1 · 2016-03-09T04:28:55+01:00

way 1:
a triangle with sides 3,4,5 will make a triangle. because this isn't 3,4,5 triangle it wont work.

way 2:
By using Heron's formula you can find the area of the flower bed.
s=(a+b+c) ÷2
Area =√s(s-a)(s-b)(s-c)
so, 3+4+8= 15
15÷2 =7.5
√7.5(7.5-3)(7.5-4)(7.5-8)
Now because 7.5-8 gives you a negative number and you can't have a negative number under a square root unless you want to use an imaginary number, it won't form a triangle.

Cetacea Cetacea · Answer 2 · 2022-01-11T12:27:47+01:00

Cetacea Cetacea

11-01-2022

Kanye can not form a triangle with the logs without cutting any of them.

The given lengths are 3 ft, 4 ft, and 8ft.

Triangle inequality says: The sum of any two sides of a triangle is more than the third side.

But 3 + 4 = 7 < 8.

This does not follow the triangle inequality.

So, Kanye can not form a triangle with the logs without cutting any of them.

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