A florist has 60 tulips and 72 daffodils. The florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers. What is the greatest number of bouquets the florist can make?

The median segment divides the triangle into 2 isosceles triangles and everything else is trivial.|ad|=|bc|2=|bd|soδadb  is isosceles with∠dab=∠dbasimilarlyδadc  is isosceles with  ∠dac=∠dca∠cab=∠cad+∠bad=∠acb+∠abctherefore∠cab  is a right angleandbc  is the hypotenuse of a right-angled triangle.hope this