Question

fill the boxes.
pls give me a correct answer
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Answer 1

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Answer 2

AB = BC [Given]

∴ ∠BAC = ∠BCA [Isosceles triangle theorem]

Let ∠BAC = ∠BCA = x

(i) In ∆ABC, ∠A + ∠B + ∠C = 180° [Sum of the measures of the angles of a triangle is 180°]

∴ x + 90° + x = 180° [From (i)]

∴ 2x = 90°

∴ x = 90°/2 [From (i)]

∴ x = 45°

∴ ∠BAC = 45°

∴ AB = BC = 1/√2 × AC { opposite side of 45 ° }

= 1/√2 × √8

= 1/√2 × 2√2

∴ AB = BC = 2 unit .