Alu dilipi **
43. investing the winnings: after winning $280,000
in the lottery, maurika decided to place the money in
three different investments: a certificate of deposit
paying 4%, a money market certificate paying 5%,
and some aa bonds paying 7%. after 1 yr she earned
$15,400 in interest. find how much was invested
at each rate if $20,000 more was invested at 7%
than at 5%.

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