The side lengths of a square are 7 in. What is the length of the diagonal?
+37084 Max is correct and gives the exact answer....which is the same answer I gave (rounded) as
. sqrt(98) = sqrt(49 x 2) = 7 sqrt2 = 9.899 in
+37084 Use pythagorean theorem a^2 + b^2 = c^2 where c is the diagonal and a and b are the side lengths (both 7)
7^2 + 7^2 = c^2
49 + 49 = 98 = c^2 c = sqrt(98) = 9.899 in
+9665 The angle formed by the diagonal and the side will always be 45 degrees.
sin 45 = 7 / diagonal
diagonal = 7sqrt(2)
+37084 Max is correct and gives the exact answer....which is the same answer I gave (rounded) as
. sqrt(98) = sqrt(49 x 2) = 7 sqrt2 = 9.899 in
