Find the length of a diagonal of a square with sides 10in. long
Accepted Solution
A:
Hey!!! Answer is.... diagonals of square bisect each other at right angles. let diagonal be 2x Using Pythagoras in a triangle enclosed by a side and 2 half diagonals... [tex] {x}^{2} + {x}^{2} = {10}^{2} [/tex] [tex]2 {x}^{2} = 100[/tex] [tex] {x }^{2} = 50[/tex] [tex]x = \sqrt{50} [/tex] side of a diagonal=2 sqrt50 [tex] = 10 \sqrt{2} [/tex] cm......