Question

Find the length of diagonal of square with side 8 cm.​

Answer 1

Answer:

seg XW is a diagonal.

In ∆ XYW, m∠XYW = 90° … [Angle of a square] ∴ [l(XW)]2 = [l(XY)]2 + [l(YW)]2 …[Pythagoras theorem] = (8)2 + (8)2 = 64 + 64

∴ [l(XW)]2 = 128

∴ l(XW) = √128 …[Taking square root of both sides] = √64 × 2 = 8 √2 cm

∴ The length of the diagonal of the square is 8 √2 cm.

Answer 2

Step-by-step explanation:

Let lenght of diagonal be d

Using Pythagoras Theorem .

A/Q diagonal² = side² + side²

d² = 8² + 8²

d² = 128

d = √128

d = 8√2 cm ANS.

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