Question

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.

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.