A state park charges an entrance fee based on the number of people in a vehicle.
A car containing 2 people is charged $14,
a car containing 4 people is charged $20,
and a van containing 8 people is charged $32.
#3 - What rule do you think the state park uses to decide the
entrance fee for a vehicle?
I

333.74 ! should be your answer for this question

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