Question

Find the side and perimeter of a square whose diagonal is 13√2 cm.
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Answer 1

Answer:

Side of square:13cm

Perimeter of square: 52cm

Step-by-step explanation:

As we know diagonal of a square is side√2

Here, diagnol = 13√2

By substitution,

13√2 = side√2

Side(s) = 13√2/√2

S = 13cm

Side of square is 13cm

Now, perimeter of square:

P = 4×side(s)

P = 4 × 13

P = 52cm

Hence, perimeter is 52cm

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Answer 2

Step-by-step explanation:

let,abcd be the given square

in∆abc,<ABC=90°

by Pythagoras theorem,

AB2+BC2=AC2

sides of square are equal

AB2+AB2=(13√2)2

2AB2=169×2

AB2=169×2/2

AB2=169

AB=√169

AB=13cm

side of square is 13cm

perimeter of square=4×13

=52cm