As a part-time employee, Rachel does not qualify for any benefits from her current employer. Seeing a need for a health care program, Rachel went shopping for health insurance and is trying to decide between two options with a national health insurance provider. The benefits of each option are outlined in the tables below.

vertical=18cm horizontal=18cm hypotenuse=25.5

step-by-step explanation:

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

is there supposed to be a picture here?