Question

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
yards.
The inequality w <
represents the distance, w, that Pete might save by taking the direct path.

Answer 1

Answer:

(a)

A to B to C =40 yards

(b)

w<40

Step-by-step explanation:

We are given

The distance between point A and point B is 15 yards

AB=15 yards

The distance between point B and point C is 25 yards

BC=25 yards

(a)

A to B to C = AB+BC

A to B to C =15+25

A to B to C =40 yards

(b)

direct distance between A to C  or AC

It must be less  than distance between A to B to C

AC< AB+BC

AC< 15+25

AC< 40 yards

w<40

Answer 2

The answers are 40, 10, 30