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InterviewSolution
| 1. |
Which of the following can be the sides of a righttriangle?(i) 2.5 cm,6.5 cm, 6 cm.(ii) 2 cm, 2 cm, 5 cm.(iii) 1.5 cm, 2cm, 2.5 cm. |
| Answer» <p>Let us take a2 + b2 = c2 and solve the given problems</p><p>i) 2.5 , 6.5, 6 cm2.5 ×2.5= 6.256.5×6.5=42.256×6=36 6.25 + 42.25=48.5</p><p>This is not equal to the third side.</p><p>ii) 2×2=42×2=45×5=254+4=8Not equal to 3rd side</p><p>iii) 1.5×1.5 =2.252×2=42.5×2.5= 6.252.25 + 4 = 6.25</p><p> Hence the third one can be sides of a right angled triangle. </p><p> </p> <p>A right angled triangle always follow pythaogras theorem soif a,b,c are sides then a² + b² = c²i)2.5² + 6² = 6.25 + 36 = 42.25 = 6.5²A Right angled triangle</p><p>ii) 2² + 2² = 8 is not equal to 5² = 25so not a right angle triangle</p><p>iii) 1.5² + 2² = 2.25 + 4 = 6.25 = 2.5²a right angled triangle</p> | |