Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then
...(i)
Case 2: x is not the largest side, then
...(ii)
From (i) and (ii), we get
Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
Your answer would ultimately be A because you would multiply 100 by the percent 55 which u would take the dot like it usually is a the end of the number and move it over to the left two places to get your number then you would multiply 100 by .55 to get 55$
Answer:
see explanation
Step-by-step explanation:
(1)
the sine of an angle = 
(a)
here the opposite is 12 and the hypotenuse is 13
12 is the side opposite ∠DEF ← required angle
(b)
the tangent of an angle = 
here the opposite is 5 and the adjacent is 12
∠DFE ← required angle
(2)
to calculate AB use Pythagoras' identity in the right triangle
AB² = 2² + 3² = 4 + 9 = 13, hence
AB = 
≈ 3.6 ( to nearest tenth )
tanB = 
⇒ B = 33.7°
tanA = 
⇒ A = 56.3°
