Plot the points a (2 0) b (5 0) and (5 3). Find the coordinates of the point d such that abcd is a square. Also, find the area of the square
Answers
Answer: coordinates of Point D(2,3)
Step-by-step explanation:
Area of the square =3^2
Area of the square =9unit^2
Given : point A(2,0), B(5,0) and C(5,3).
To Find : co-ordinates of the point D such ABCD is a square
Solution:
A(2,0), B(5,0) and C(5,3).
Slope of AB = (0 - 0)/(5 -2 ) = 0
Slope of BC = ( 3 - 0) / (5 - 5) = 3/0
AD ⊥ AB
=> Slope of AD = - 1/0
Let say point D = ( x , y)
Slope of AD = ( y - 0)/(x - 2) = - 1/0
=> x - 2 = 0
=> x = 2
CD ⊥ BC
=> Slope of CD = -1/(3/0) = 0
Slope of CD = ( y - 3)/(x - 5)
( y - 3)/(x - 5) =0
=> y - 3 = 0
=> y = 3
Point D ( 2 , 3)
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