Question

FAN AND MEDAL
Can the following be lengths of the sides of a triangle? Why or why not?
a. 12, 15 , 3
b. 8 , 8, 5

Answer 1

so what do u think take a guess

Answer 2

a no
b yes
but i don't know why just a guess

Answer 3

@kiamousekia You are Correct your answer is B dear,

Answer 4

okay but can you tell me why i am right like i mean why is A no And B yes?

Answer 5

Okay 1 second.

Answer 6

It's an equilateral triangle, because the two sides are equal

Answer 7

, According to the Triangle Inequality Theorem, the sums of the lengths of any two sides of a triangle must be greater than the length of the third side. Since 10 + 8 is 18, the only length out of the answer choices that is not possible is 19.

Answer 8

or the same length

Answer 9

, Rule: Assume you have three sides a,b,x where anyone is one
of the sides and a,b are the other two sides, then a-b< x must be true if a,b,x are to form a triangle.
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6,18,12
Example: 18-12 < 6 < 18+12; False; no triangle
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15,22,8
Example: 22-15 < 8 < 22+15 ; True; good triangle


:::::::: 15-8 < 22 < 15+8 ; True; good triangle
:::::::: 22-8 < 15 < 22+8 ; True; good triangle
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22,13,8
Example: 22-13 < 8 < 22+13 ; True; good triangle
:::::::: 22-8 < 13 < 22+8 ; True; good triangle
:::::::: 13-8 < 22 < 13+8 ; False: no triangle