Final answer:
To find the length of the base of the isosceles triangle, the equation 2ab = 15.7 can be used which is 1.24603 centimeters.
Step-by-step explanation:
To find the length of the base of the isosceles triangle, we need to rearrange the equation 2ab = 15.7 to solve for b.
Divide both sides of the equation by 2a, giving us b = 15.7 / (2a).
If one of the longer sides is 6.3 centimetres, we can substitute this value into the equation to find the length of the base.
b = 15.7 / (2 * 6.3)
= 15.7 / 12.6
= 1.24603 centimeters.