SOLUTION: If the diagonal of the square is 13 units long, how long is each side of the square to the nearest tenth?

Algebra ->  Pythagorean-theorem -> SOLUTION: If the diagonal of the square is 13 units long, how long is each side of the square to the nearest tenth?      Log On


   

Question 1078970: If the diagonal of the square is 13
units long, how long is each side of the square to the nearest tenth?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let's diagonal be d and side of the square a
use Pythagorean theorem:
d%5E2=a%5E2%2Ba%5E2
d%5E2=2a%5E2
If the diagonal of the square is 13 units long,we have
13%5E2=2a%5E2
169=2a%5E2
169%2F2=a%5E2
169%2F2=a%5E2
sqrt%28169%2F2%29=a
13%2Fsqrt%282%29=a
13%2F1.41=a
9.219858156028369=a
a=9.2->each side of the square is 9.2 units long