Given class Triangle, complete the program to read and set the base and height of triangle$1$ and triangle$2,$ determine which triangle's area is larger, and output the larger triangle's info, making use of Triangle's relevant methods.

Ex: If the input is:

where $3\mathrm{.}0$ is triangle$1\text{'}$s base, $4\mathrm{.}0$ is triangle$1\text{'}$s height, $4\mathrm{.}0$ is triangle$2\text{'}$s base, and $5\mathrm{.}0$ is triangle$2\text{'}$s height, the output is:

Triangle with larger area:

Base: $4\mathrm{.}00$

Height: $5\mathrm{.}00$

Area: $10\mathrm{.}00$

$5835543440352$ gr$320$y$7$