Trigonometry
Length of line segment
Find the length of the line segment whose endpoints are: (-3, 11) and (-4, 20)

sqrt(82)

Step-by-step explanation:

sqrt[(20-11)² + (-4--3)²]

sqrt(81+1)

sqrt(82) or 9.055 units

sqrt: square root

9.055

Step-by-step explanation:

Let A(xa,ya) and B(xb,yb) two endpoints. The length of the AB segment is:

d²=(xb-xa)²+(yb-ya)².

Now:

d²=(-4-(-3))²+(20-11)²=(-4+3)²+9²=(-1)²+81=82

d=sqrt(82)=9.055

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