Posted by Cassie on Tuesday, April 10, 2012 at 2:35am.
A square has a side length of 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

Geometry  Bosnian, Tuesday, April 10, 2012 at 3:04am
Pitagorin teorem:
diagonal = sqrt ( 95 ^ 2 + 95 ^ 2 )
diagonal = sqrt ( 2 * 9025 )

Remark :
9025 = 5 * 5 * 19 * 19
9025 = 5 ^ 2 * 19 ^ 2

diagonal = sqrt ( 2 * 9025 )
diagonal = sqrt ( 2 * 5 ^ 2 * 19 ^ 2 )
diagonal = 5 * 19 * sqrt ( 2 )
diagonal = 95 * sqrt ( 2 )

Geometry  Bosnian, Tuesday, April 10, 2012 at 3:50am
diagonal = sqrt ( 95 ^ 2 + 95 ^ 2 )
diagonal = sqrt ( 2 * 95 ^ 2 )
diagonal = sqrt ( 2 * 9025 )

Geometry  Anonymous, Tuesday, April 10, 2012 at 5:06am
d = sqrt ( 95 ^ 2 + 95 ^ 2 )
d = sqrt ( 2 95 ^ 2 )
d = sqrt ( 95 ^ 2 ) * sqrt ( 2 )
d = 95 sqrt ( 2 )
Answer This Question
Related Questions
 Geometry Help?  Can anyone check my answers? * = My answer 1. Find the length ...
 Geometry  Find the perimeter and area of a square with diagonal length of 20cm...
 math  In a regular hexagon, what is the ratio of the length of the shortest ...
 Square roots  The diagonal of a square has length square root 2 X s, where s is...
 Math  A square with a side length of 2s has a smaller square inscribed. The ...
 math  the area of a square is 49 square inches. find the number of inches in ...
 Math  A square and an equilateral triangle have equal perimeters. The area of ...
 Analytic Geometry  A square is a quadrilateral with four equal sides. The area ...
 Math  1. Choose a room you would like to decorate. Measure its length or width...
 Geometry  The side length of square ABCD is 1 unit. Its diagonal, AC, is a side...
More Related Questions