in a right angle triangle ABC AB = 7, BC = 24 , AC = 25 if G is cenroid GB = ?
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Answer:
GB = 25/3
Step-by-step explanation:
in a right angle triangle ABC AB = 7, BC = 24 , AC = 25 if G is cenroid GB =
To Make it Simple
Let say A = (0,0)
Then B = (7 , 0)
& C = (7 , 24) ( as BC ⊥ AB)
G = ( 0 + 7 + 7)/3 , ( 0 + 0 + 24)/3
G = 14/3 , 24/3
B = 7 , 0
GB = √(14/3 -7)² + (24/3 - 0)²
=> GB = √(-7/3)² + (24/3)²
=> GB = √(49 + 576)/9
=> GB = √625/9
=> GB = 25/3
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