Question

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

Answer 1

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 √2cm

Answer 2

Answer:

square root of 128 = 11.31