Question

the area of a square is 50 cm square the length of its diagonal is​

Answer 1

Answer:

10 cm

Step-by-step explanation:

Area of square = 50 sq. cm

Side of square = $\sqrt{50}$ cm

                        = 5$\sqrt{2}$ cm

(Refer attached image for diagram)

In triangle ABC by Pythagoras theorem

AB² + BC² = AC²

(5$\sqrt{2}$)² + (5$\sqrt{2}$)² = AC²

AC² = 50 + 50

AC² = 100

AC = $\sqrt{100}$

AC = 10 cm

Hence diagonals = 10 cm