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.
\[W\left( \frac{- 7}{2} , 4 \right), X\left( 11, 4 \right)\]
\[W\left( \frac{-7}{2} , 4 \right), X\left( 11, 4 \right)\]
\[WX = \sqrt{\left( \frac{- 7}{2} - 11 \right)^2 + \left( 4 - 4 \right)^2} = \sqrt{\left( \frac{- 29}{2} \right)^2}\]
\[ = \sqrt{\frac{841}{4}}\]
\[ = \frac{29}{2}\]
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)