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    Question

    Determine the hypotenuse of an isosceles right-angled

    triangle where each of its equal sides measures 9√7 cm.
    A 10√2 cm Correct Answer Incorrect Answer
    B 16√3 cm Correct Answer Incorrect Answer
    C 15√10 cm Correct Answer Incorrect Answer
    D 9√14 cm Correct Answer Incorrect Answer

    Solution

    ATQ, Since ΔABC is an isosceles right-angled triangle, then AC = AB ⇒ AC = AB = 9√7 cm (Given) Now, using the Pythagoras theorem, we get BC² = AC² + AB² ⇒ BC² = AB² + AB² ⇒ BC² = 2AB² ⇒ BC² = 2(9√7)² ⇒ BC² = 2(81 × 7) ⇒ BC² = 1134 ⇒ BC = √1134 = 9√14 cm Hence, the length of the hypotenuse is 9√14 cm.

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