In the given 45∘ -
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45∘ -
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90∘ triangle, side BC = 5 cm. Find length of side AC and side AB.
[3 Marks]
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Solution
As the given triangle is 45∘ -
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45∘ -
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90∘ and the right angle is at vertex B, therefore,
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∠A = ∠C = 45∘
As the given triangle is 45∘ -
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45∘ -
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90∘ triangle, we know that each of the perpendicular sides is 1√2 of the hypotenuse. [1 Mark]
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∴ BC = 1√2 AC