A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meters and the distance from B to C is 25 meters, what is the distance from A to C? He can t measure it because there is a deep pond between points A and C.



Answer :

It's about Pythagorean theorem.

AB*AB + BC*BC = AC*AC, so:

35*35 + 25*25 = AC*AC
1225 + 625 = AC*AC
1850 = AC*AC

So AC is a root of 1850, which is ~43 (exactly: 43,01162633521313)

It means that distance between A and C is 43 meters and some milimeters.