The sides must be long enough to make a triangle. (If the sides are not long enough, they won't meet, so cannot form a triangle.)
_____
If your version of the triangle inequality includes the "or equal to" case, then the segments must be long enough to meet, even though the result may look like a line segment.
Answer:
Exact Form:
√
30
Decimal Form:
5.47722557
…
Step-by-step explanation: i would go with D
Step-by-step explanation:
step 1. pythagorean theorem is a^2 + b^2 = c^2 where a, b are the legs and c is the hypotenuse
step 2. 4^2 + 5^2 = c^2
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Answer: 280 tons
Step-by-step explanation: divide all at tons/pound which accumulated to 280 tons
