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 - 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 ...
- Geometry - The side length of square ABCD is 1 unit. Its diagonal, AC, is a side...
- Geometry - A square has diagonal length 13 m. What is the side length of the ...
- Geometry - Find the length of d in simplest radical form of he diagonal of a ...

More Related Questions