Question

find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long

Answer 1

6.25 cm long is the answer

Answer 2

The largest possible area of right angled triangle with hypotenuse 5 cm is only possible when other two sides are 4&3 cm ...since according topythgoras triplet
Maximum measurement of sides with hypotenuse 5 cm will be 4&3 cm ...

.

Now the area would be..
1/2x4x3 = 6 cm^2