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slega [8]
4 years ago
6

If A= (10,4) and B= (2,19) what is the length of AB ?

Mathematics
2 answers:
faust18 [17]4 years ago
4 0

we are given

A= (10,4) \  and  \  B= (2,19)

we have been asked to find the distance AB.

The distance between the two points can be found using the formula

D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\ \\ \text{where two points on the Cartesian plane are } (x_1, x_2)  \ and \  (y_1,y_2)\\

D=\sqrt{(10-2)^2+(4-19)^2}\\ \\ D=\sqrt{(8)^2+(-15)^2}\\ \\ D=\sqrt{64+225}\\ \\ D=\sqrt{289}\\ \\ D=17

Length of AB=17

Lunna [17]4 years ago
4 0
The answer is 17 units
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