Question

In square abvd ac is 16cm then area of abcd is __cm square

Answer 1

let the side if square is x cm

given that diagonal AC is 16 cm..

it's side= x=√128=4√8cm

area=4√8×4√8=128cm²

hope this will hlp u

Answer 2

Area of the square ABCD = 64 cm²

Step-by-step explanation:

In a square ABCD

AC = 16cm.

Since we know AC is a diagonal.

In Δ ABC

$(AC)^2 = (AB)^2 + (BC)^2$

Since AB and BC are sides of the square, they are equal.

$(AC)^2 = (AB)^2 + (AB)^2$

$(16)^2 = 2(AB)^2$

$256 = (2AB)^2\\\frac{256}{4} = (AB)^2$

$AB = \sqrt{64}$

AB = 8 cm

Area of the square = side * side

Area of square = 8 * 8

Area of sqaure = 64 cm²