InterviewSolution
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Which of the following can be the sides of a right angled triangle?1. 15 cm, 32 cm and 57 cm2. 65 cm, 72 cm and 97 cm3. 20 cm, 21 cm and 31 cm4. 35 cm, 77 cm and 88 cm |
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Answer» Correct Answer - Option 2 : 65 cm, 72 cm and 97 cm Concept used: The right-angled triangle follow the Pythagoras theorem, Hypotenuse2 = Perpendicular2 + Base2 The hypotenuse is the greatest side of the right-angled triangle Calculation: Checking the options one by one Option 1- 152 + 322 = 1249 ≠ 372 It doesn't satisfy the Pythagoras theorem so it is not the side of the right-angled triangle Option 2- 652 + 722 = 9409 = 972 It satisfies the Pythagoras theorem so it is the side of the right-angled triangle Option 3- 202 + 212 = 841 ≠ 312 It doesn't satisfy the Pythagoras theorem so it is not the side of the right-angled triangle Option 4- 352 + 772 = 7154 ≠ 882 It doesn't satisfy the Pythagoras theorem so it is not the side of the right-angled triangle ∴ The correct answer is option 2 |
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