Question

Leonardo da Vinci drew a portrait of a young woman. The portrait is shaped like a rectangle. It is 13.5 inches long and 10 inches wide. What is the length of a diagonal that connects one corner of the portrait to the other? Round the answer to the nearest tenth of an inch.

Answer 1

Let
x---------------> long side rectangle------------> 13.5 in
y---------------> wide side rectangle------------> 10 in
d--------------> length of a diagonal

we know applying the Pythagorean theorem
d²=x²+y²-----------> d²=13.5²+10²-> d²=282.25
d=√282.25=16.80 in

the answer is 16.8 in