SOLUTION: If two sides of a triangle are equal to 3 and 7, which of the following is not a possivle value for the length of the third slide ? A. 4 B. 7 C. 8 D. 9 E. 5

Algebra ->  Triangles -> SOLUTION: If two sides of a triangle are equal to 3 and 7, which of the following is not a possivle value for the length of the third slide ? A. 4 B. 7 C. 8 D. 9 E. 5      Log On


   

Question 803898: If two sides of a triangle are equal to 3 and 7, which of the following is not a possivle value for the length of the third slide ?
A. 4
B. 7
C. 8
D. 9
E. 5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If two sides of a triangle are equal to a=3 and b=7, then the length of the third side c must be less than a%2Bb=3%2B7=10, or c%3C10
also a%3C7%2Bc}, and b%3C3%2Bc as well
if we say that c=4, then a%3C7%2B4=11}=>3%3C11 which is true, b%3C3%2B4=>7%3C7 which is NOT true, even c%3C10=>4%3C10 is also true
if we say that c=7, then a%3C7%2B7=14}=>3%3C14 which is true, b%3C3%2B7=>7%3C10 which is true, and c%3C10=>7%3C10 is also true
if we say that c=9, then a%3C7%2B9=16}=>3%3C16 which is true, b%3C3%2B9=>7%3C12 which is true, and c%3C10=>9%3C10 is also true
if we say that c=8, then a%3C7%2B8=15}=>3%3C15 which is true, b%3C3%2B8=>7%3C11 which is true, and c%3C10=>8%3C10 is also true
if we say that c=5, then a%3C7%2B5=12}=>3%3C12 which is true, b%3C3%2B5=>7%3C8 which is true, and c%3C10=>5%3C10 is also true
so, your answer is A. 4