Square diagonal

Calculate the length of diagonal of the square with side a = 23 cm.


Correct result:

d =  32.53 cm

Solution:

a=23 cm  d2=a2+a2=232+232=1058 d=2 a=2 23=23 2=32.53 cma=23 \ \text{cm} \ \\ \ \\ d^2=a^2 + a^2=23^2 + 23^2=1058 \ \\ d=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 23=23 \ \sqrt{ 2 }=32.53 \ \text{cm}



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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Math student
Why do you need to do
d squared = a squared + a squared

#
Dr Math
just  simple Pythagorean therorem

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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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