Question
Determine the hypotenuse of an isosceles right-angled
triangle where each of its equal sides measures 9√7 cm.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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