Question

estimate the lenght of the diagonal of squares with the following sides 8cm
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Answer 1

Answer:

ABCD is a square of side 8 cm. ... Thus, the length of diagonal of square is 128cm

Answer 2

Please mark as brainliest answer hope it helped you

Step-by-step explanation:

Let XYWZ be the square of side 8cm. 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.