Question

4)If the diagonal of a square is 25√2 cm, then the length of its side is ___ *
1 point
50cm
25cm
5cm
52cm
Other:
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Answer 1

Answer:

25 cm is the correct answer

Answer 2

Answer:

25 cm

Step-by-step explanation:

Let the side of square be x.

According to question,

x^2 + x^2 = 25√2 (By Theorem 6.8)

=>√x^2 + x^2 = 25√2

=>x^2 + x^2 = (25√2)^2

=>x^2 + x^2 = 625 × 2

=>2x^2 = 625 × 2

=>x^2 = 625 × 2/2

=>x^2 = 625

=>x = 25

Hence,The length of the side of the described square is 25 cm!!!