Find the area of the figure
2 answers:
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Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .
Step-by-step explanation:
There are two kew parameters for a sphere: Center (,
,
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:
The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:
The general formula of a sphere centered at (h, k, s) and with a radius r is:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .
Answer: C) 5.5 cm.
Step-by-step explanation:
From the given , it can be clearly seen that in triangle DBE , G and H are the midpoints of segment DB and DE respectively.
Also, GH is parallel to BE. [By Converse of Basic proportionality theorem]
Length of BE= 11 cm.
Further more,
Hence, the BEST ESTIMATE for segment GH is 5.5 cm.
Note :
Converse of Basic Proportionality Theorem says that when a line (or a segment) divides any two sides of a triangle in equal proportion then the line ought to be parallel to the remaining third side.