SOLUTION: The area of a square is 50. what is the length of the diagonal?? Thank you !

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Question 254586: The area of a square is 50. what is the length of the diagonal??
Thank you !
Found 3 solutions by richwmiller, solver91311, jojo14344:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
A=s^2
50=s^2
let c=diagonal a and b the sides
a=s
b=s
a^2+b^2+c^2 where c=the diagonal and both a^2 and b^2 =s^2
The diagonal will be 2s^2=c^2
2*50=c^2
100=c^2
c=10 the diagonal equals 10

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Pythagoras says that the measure of the diagonal of a square is the square root of 2 times the measure of one of the sides squared.

But since the measure of a side squared is the area of a square we can write:

Substitute the given area for A and do the arithmetic.

John

Answer by jojo14344(1513)   (Show Source):
You can put this solution on YOUR website!

If the Area of a Square is 50 sq units, we can compute the sides.

By definition,

----> Sides

----> Pythagorean Theorem:

, Answer

Thank you,
Jojo