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edjiejwi
17.01.2022 •
Mathematics
A(0,6) ABC is a triangle where the co-ordinates of A and Care (0,6) and (4,2) respectively. G (2/3,4/3) is the centroid of the triangle ABC. AG intersects BC at the point P. |AG|: IGPI = 2:1. (a) Find the co-ordinates of P. (b) Find the co-ordinates of B.
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Ответ:
≈ 1.4 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d =![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](/tpl/images/0786/7023/05e0c.png)
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 6)
d =![\sqrt{(4-3)^2+(6-5)^2}](/tpl/images/0786/7023/e5918.png)
=![\sqrt{1^2+1^2}](/tpl/images/0786/7023/578e3.png)
=![\sqrt{1+1}](/tpl/images/0786/7023/bba37.png)
=
≈ 1.4 ( to the nearest tenth )