Find the Distance Between the Following Pair of Point. W ( − 7/ 2 , 4 ) , X ( 11 , 4 )
Find the distance between the following pairs of point.
[Wleft( frac{- 7}{2} , 4 right), Xleft( 11, 4 right)]
Answer
[Wleft( frac{-7}{2} , 4 right), Xleft( 11, 4 right)]
[WX = sqrt{left( frac{- 7}{2} – 11 right)^2 + left( 4 – 4 right)^2} = sqrt{left( frac{- 29}{2} right)^2}]
[ = sqrt{frac{841}{4}}]
[ = frac{29}{2}]
Explanation:-
To find the distance between points W and X, we use the distance formula:
distance = sqrt((x2 – x1)^2 + (y2 – y1)^2)
Substituting the values of W and X, we get:
distance = sqrt((11 – (-7/2))^2 + (4 – 4)^2)
distance = sqrt((11 + 7/2)^2)
distance = sqrt((29/2)^2)
distance = 29/2
Therefore, the distance between points W(-7/2, 4) and X(11, 4) is 29/2 units.
Chapter 5. Co-ordinate Geometry – Practice Set 5.1 (Page 107)