Question

For finding AB and BC with the help of the information given in the following figure, complete the following activity:

Activity:

AB = BС      .....`square`

∴ ∠ BAC = `square`

∴ AB = BC = `square` × AC

= `1/sqrt2 xx  square`

= `1/sqrt2 xx 2 xx  square`

AB = BC = `square`

Answer 1

AB = BС      .....\[\boxed{Given}\]

∴ ∠ BAC = \[\boxed{45°}\]

∴ AB = BC = \[\boxed{\frac{1}{\sqrt{2}}}\] × AC

= `1/sqrt2` × \[\boxed{\sqrt8}\]

= `1/sqrt2` × 2 × \[\boxed{\sqrt2}\]

AB = BC = \[\boxed{2}\]