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Answers
A ( 1 , 3) , B (2, 4) & C ( 3, 2) has centroid O ( 2, 3)
Step-by-step explanation:
Vertex of Triangle
(p + 1 , 1) , (2p + 1 , 3) & (2p + 2 , 2p)
Area of Triangle
= (1/2) | (p + 1) ( 3 - 2p) + (2p + 1)(2p - 1) + (2p + 2)(1 - 3) |
= (1/2) | -2p² + p + 3 + 4p² - 1 -4p - 4 |
= (1/2) | 2p² - 3p - 2 |
39 . p = ± 1
=> area = (1/2) | ±3 | = 3/2 sq units
40 . p = ± 3
=> area = (1/2) | 25 | or (1/2) | 7 |
= 25/2 sq unit or 7/2 sq unit
41 p = ± 3
=> area = (1/2) | - 2| = 1 sq unit
A ( 1 , 3) , B (2, 4) & C ( 3, 2) has centroid
= ( 1 + 2 + 3)/3 , ( 3 + 4 + 2)/2
= 2 , 3
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