The coordinates of three watering taps in the school garden are

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A(2,3)

B(10,7)

and

C(2,15)

. (i) Calculate the length of the pipe required to connect tap

A

directly to tap

B

. (ii) Calculate the length of pipe required to connect tap

B

directly to tap

C

. (iii) Determine the total length of pipe needed if tap

A

is connected to tap

C

by first joining

A

B

and then

B

C

. (iv) Find the length of pipe that would be needed to connect tap

A

directly to tap

C

. Compare your answer with the result obtained in part (iii) and comment on which arrangement uses less piping.