Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
16 is correct I hope this helps :)))))))))))))
Answer:
x = 50.60 cm
Step-by-step explanation:
Given triangles ΔMAB and ΔMNP are smilar accordingly their corresponding sides are proportional.
But first we will determine the size of the side MA:
MA = MN - AN = 46.2 - 14 = 32.2 cm
Now we will make proportion:
MN : MA = MP : MB => 46.2 : 32.2 = 72.6 : x
When we multiply external and internal members we get:
46.2 x = 72.6 · 32.2 => x = 72.6 · 32.2 / 46.2 = 2337.72 / 46.2 = 50.60 cm
x = 50.60 cm
God with you!!!
Answer:
{M, i, s, p}
Step-by-step explanation:
The elements of the set are the letters in Mississippi. But remember, elements cannot repeat themselves! So the elements of this set would be {M, i, s, p} since all the other letters are just repetitions.
Hope this helps!!
