Which of the following do not represent the measures of the sides of a triangle? A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v