Answer:30^2+32^2=40^2+18^2
Step-by-step explanation:
(THIS IS NOT MY ANSWER, I HAVE GOTTEN THIS FROM A LOVELY PERSON NAMED Boreal)
You have to draw this.
The towers are 50 feet apart. To reach a spot between them, the birds have to fly from the top to a point between them. There is a right triangle, and the hypotenuses have to be equal.
The bird on the shorter triangle is part of a triangle with the tower 30 and the distance x to the fountain. They square to 900 + x^2.
The other bird on the 40 foot tower has a distance to the fountain on the ground of 50-x, because the towers are 50 feet apart.
That squares to 2500-100x+x^2.
These must be equal.
2500-100x+x^2+1600=900+x^2
4100-100x=900
-100x=-3200
x=32 feet from the shorter tower and 18 feet from the larger tower.
Therefore 30^2+32^2=40^2+18^2
I know it looks confusing as heck but there is your answer :)
