The length of diagonal of a square is 13√2 cm, then the length of its each side is'

13

Step-by-step explanation:

13root 2 squared is 338

338/2=169

root 169 is 13

13 cm

Step-by-step explanation:

the diagonal of a square bisects the right angles so you have a 45-45-90 triangle

this type of triangle has a ratio of sides according to the following:

1 : 1 :  where the legs are 1 and the hypotenuse is

So, in this problem if the hypotenuse is 13 then the legs are 13

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation: