



 
Hi Tom, Here is a diagram of one such triangle. It's area is \[\frac12 \times 4 \times h \mbox{ square centimeters.}\] In my second diagram the orange curve is an arc of a circle with center $A$ and radius 3 cm. The point $B$ must be on this arc if the length of $AB$ is 3 cm. What point on the arc makes $h$ a maximum and hence gives a triangle of maximum area? Penny 



Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 