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Somen has drawn a right-angled triangle, the hypotenuse of which is 3 cm more the twice of its smallest side. If the length of its third side be 1 cm less than the hypotenuse, then find the lengths of the sides of the right-angled triangle.

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The correct Answer is:
5cm, 12cm, 13cm;
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CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.4
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  2. Express the equation lx^(2)+mx+n=0 in a perfect square form.

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  3. Solve the equation 2x^(2)+x-10=0 by perfect square method.

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  4. What is the value of k if in the solution of the equation 7x^(2)+x-1=0...

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  5. Solve the quadratic equation alphax^(2)+betax+gamma=0 by perfect squar...

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  6. Solve by applying Sreedhar Acharya's formula - (b-1)x^(2)+cx+d=0

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  7. Determine a natural number which is less by 12 than its square.

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  8. Somen has drawn a right-angled triangle, the hypotenuse of which is 3 ...

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  9. The speed of Laxmi is 1m /sec more than that of Salma. To travel a dis...

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  10. In our village, Sankarbabu bought 350 chilli plants for planting in hi...

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  11. Durgadebi went to the market and saw that the price of dal of 1 kg is ...

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  12. Divide 50 into two parts such that the sum of their reciprocals may be...

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  13. If the price of pins decreases 2 paise per dozen, then the buyer will ...

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  14. A boatman can row 7 km down a river and back in 4(2)/(3) hours. If the...

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  15. The sum of the squares of two consecutive numbers is 145. Find them.

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  16. Divide unity into two parts such that the sum of their cubes is (7)/(...

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  17. ax^2 +bx +c=0 is a quadratic equation then

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  18. Find a fraction which assumes twice or thrice its orginal value when 2...

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  19. Find the fraction less than one such that the sum of the numerator and...

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  20. Number of roots in a quadratic equation is

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