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.

Question

Fernanda Stein

Mathematics

2 September, 15:23

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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Answers (1)

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Easton Andrews · Answer 1

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.