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📰 Solution: Let the sides be $ a $ and $ b $. By the Pythagorean theorem, $ a^2 + b^2 = 25^2 = 625 $. The area $ A = ab $. To maximize $ A $, use the identity $ (a + b)^2 = a^2 + 2ab + b^2 $, but it is more direct to note that for fixed $ a^2 + b^2 $, $ ab $ is maximized when $ a = b $. Thus, $ 2a^2 = 625 \Rightarrow a = rac{25}{\sqrt{2}} $. The maximum area is $ A = \left(rac{25}{\sqrt{2}} 📰 ight)^2 = rac{625}{2} = 312.5 $. oxed{\dfrac{625}{2}} 📰 Question: Find the number of functions $ f : \mathbb{R} o \mathbb{R} $ such that $ f(a + b) = f(a) + f(b) + ab $ for all real $ a, b $. 📰 Twilight Princess Hd 9398186 📰 Victory Plus 2519191 📰 Pinckney Treaty 7099661 📰 Hallie Gnatovich Uncovered The Shocking Truth She Never Wanted You To Know 9636367 📰 Mreo Stock Explosionis This The Next Money Magic You Need 6301173 📰 Guaranteed Compatibility Microsoft 2000 Wireless Keyboard Software Download Revealed 890009 📰 Processors Compatible With Windows 11 4246898 📰 Free Spoof Call Exposed Get Rich Quick Without Spending A Penny 9942389 📰 Discover The Secret Underneath Every Birdhouse That Keeps Birds Returning Homeyou Wont Believe What Lurks Inside 8684770 📰 You Wont Believe What Kiled Her Kawaiisofey Style Shows 9019004 📰 Discover The Only Wreath Youll Need Before Christmas Lost Forever Forever 9159683 📰 What Time Is The Broncos Game On Tomorrow 9119689 📰 Dbinom125 792 Quad Dbinom124 495 2712253 📰 City Of Sunnyside 9944225 📰 Catch Des Moines 5793907