SOLUTION: I'm trying to solve a problem and I am stuck "the diagonal of a square measure 10 inches. what is the length of the sides" Evey example in my book gives at least 2 measuremen

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Question 157463: I'm trying to solve a problem and I am stuck
"the diagonal of a square measure 10 inches. what is the length of the sides"
Evey example in my book gives at least 2 measurements. How would I solve.
It gives four options...
A) 5 SQRT 2
B) 10 SQRT 2
C) 5 SQRT 3
D) 5
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Remember: Square has 45 degress angle on the diagonal, since all sides are equal.
Then by Pyth Theorem., given diagonal=10 inches:
sin%28alpha%29=opp%2Fhyp
given hyp=10" and %28alpha%29=45deg
sin%28alpha%29=opp%2F10 cross multiply
opp=sin%2845%29%2810%29=7.07inches
ANSWER: A --------> 5sqrt%282%29=7.07inches
Thank you,
Jojo