Question

Find the distance betwen the folowing points.

Answer 1

Answer:

a. 5

b. 5

c. 6√2

d. √34

e. 43 (appx.)

Step-by-step explanation:

The distance between two points on the coordinate plane having coordinate (x1, y1) and (x2, y2) is given by $\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}$ .... (1)

a. Hence, the distance between points A(2,3) and point B(6,6) is $\sqrt{(2-6)^{2}+(3-6)^{2}}=5$ units. {Using equation (1)}

b. Coordinates of A and B in the Cartesian coordinate plane are (2,3) and (6,6) respectively.

Hence, the distance between A and B is $\sqrt{(2-6)^{2}+(3-6)^{2}}=5$ units.

c. Coordinates of A and B in the Cartesian coordinate plane are (-1,5) and (5,11) respectively.

Hence, the distance between A and B is $\sqrt{(-1-5)^{2}+(5-11)^{2}}=6\sqrt{2}$ units.

d. Coordinates of A and B in the Cartesian coordinate plane are (1,-2) and (-2,3) respectively.

Hence, the distance between A and B is $\sqrt{(1+2)^{2}+(-2-3)^{2}}=(34)^{\frac{1}{2}}$ units.

e. Coordinates of A and B in the Cartesian coordinate plane are (12,-12) and (-23,13) respectively.

Hence, the distance between A and B is $\sqrt{(12+23)^{2}+(-12-13)^{2}}=43$ units. (Approximate) (Answer)