Question

An abstract painting

is a square of side
96 cm, and shows
three circles that
touch each other
and the sides of
the square. The top
two circles have the
same radius. What is
the radius of the third
circle?​

Answer 1

27cm

Step-by-step explanation:

24² + (72-r)² = (24+r)²

576 + 5184 -144r +r² = 576 +48r +r²

5184 = 192r

5184/192 = r = 27cm