Suppose Tommy walks from his home at (0, 0) to the mall at (0, 5), and then walks to a movie theater at (7, 5). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk? Tommy walks blocks.

answer: 45

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

8 < i think

hope this !