1.

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

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 + 72= 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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