Question
Calculate the hypotenuse of an isosceles right-angled
triangle where the equal sides are 8√6 cm each.Solution
ATQ, Since ΔABC is an isosceles right-angled triangle, then AC = AB ⇒ AC = AB = 8√6 cm (Given) Now, using the Pythagoras theorem, we get BC² = AC² + AB² ⇒ BC² = AB² + AB² ⇒ BC² = 2AB² ⇒ BC² = 2(8√6)² ⇒ BC² = 2(64 × 6) ⇒ BC² = 768 ⇒ BC = √768 = 16√3 cm Hence, the length of the hypotenuse is 16√3 cm.
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