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Suppose Molokai has an area of 260 square miles. Suppose a square has an area of 260 square miles. How long is the diagonal of the square? Round your answer to the nearest tenth of a mile.

 

Pythagorean Theorem
For right triangles, c2 = a2 + b2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

A^sq = s • s = s2 where A^sq is the area of a square and s is the length of one side.

 Nov 7, 2019
edited by Guest  Nov 7, 2019
 #1
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Using the diagonal formula to find the area of the square, 

d^2/2 =A.(Area of square) 

260=d^2/2

520=d^2

d=sqrt(520)=22.8 Rounded.

 Nov 7, 2019
 #2
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Let the side of the square  be, S

 

So

 

S^2  =  260     take the positive root

 

S   =  √260

 

The length of the diagonal   =  √2 * √260   =  √2 *√2* √130  =   2√130  miles

 

 

cool cool  cool

 Nov 7, 2019

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