Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $20 and same-day tickets $25 cost . For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1175. How many tickets of each type were sold? Number of advanced tickets sold: []
Number of same-day tickets sold: []

angle efh= angle egh

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