Respuesta :

bacchusella04
diagonal length is the hypotenuse if you split the square into two triangles
a^2+b^2=c^2
14^2= 196
196/2=98
we have to use surds.
the highest square number that goes into 98= 49x2
sqrt49 = 7
so your answer would be 7sqrt2
we can check our answer by doing 14^2= 196
we need to do (7sqrt2x7sqrt2)+(7sqrt2x7sqrt2)
=well sqrt2xsqrt2 is just 2. then we are left with 7x7=49
49x2= 98
98+98= 196
so your hypotenuse is 14
then both of your sides are 7sqrt2

Answer: the length of a side of the square is 7√2

Step-by-step eA square has 4 sides and all are equal. A square has 4 right angles. The diagonal of the square divides it into two right angle triangles.

Let x represent the length of each side of the square. Therefore, x represents the opposite and adjacent sides of the right angle triangle while the diagonal represents the hypotenuse. To determine the length of each side of the square, we would apply Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

14² = x² + x²

2x² = 196

x² = 196/2 = 98

x = √98 = 7√2

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