Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C? How far would Pete walk if he went from A to B to C? yards The direct distance from A to C is more than 40 yards. The inequality w < represents the distance, w, that Pete might save by taking the direct path.

Step-by-step explanation: Given that the points A, B and C forms a triangle as shown in the attached figure, where AB = 15 yards and BC = 25 yards.

Now, Pete walk directly from point A to point C rather than walking from A to B and then from B to C.

Total distance that Pete covers if he walks from A to B and then from B to C

= 15 + 25

=40 yards.

Since he walks directly from A to C and ABC forms a triangle, so from triangular inequality, we have

AB + BC > AC

i.e., AC < 40 yards.

So, if Pete takes the way direct from A to C, then the distance covered by him will be less than 40 yards. And if if he walks from A to B and the from B to C, the he will have to cover total distance of 40 yards.

Thus, the direct way from A to C will be more convenient foe him as he will have to cover less distance.

lusungmike lusungmike · Answer 2 · 2020-08-18T16:44:13+02:00

lusungmike lusungmike

18-08-2020

Answer:

40,10,30

Step-by-step explanation:

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