The measure of the third side must be less than the sum of the other two. That property is valid for all triangles.
For this question, call x the measure of the third side. So you must have
x < 4 + 3
x < 7 ft
The only option that satisfies the condition above is
option A) 5 ft.
I hope this helps. =)
Answer:
4+3i
Step-by-step explanation:
the 
needs to be simplified
first, I broke it down to
and 
simplifies to i ;and can be broken down to 
and
can be simplified further to 3
Now all you have to do is put it together
4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)
Answer:
Step-by-step explanation:
AB = 8x + 5
BC = 5x² - 16
5x² - 16 = 8x + 5
5x² - 8x - 21 = 0
Quadratic formula
x = [8 ± √(8² – 4·5(-21))] / [2·5]
= [8 ± √484] / 10
= [8 ± 22] /10
= -1.4, 3
-1.4 is an extraneous solution.
x = 3
AB = 8x+5 = 29
AC = 58
