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If m and n are two distinct numbers such...

If m and n are two distinct numbers such that m >n, then prove that `m^2-n^2`,2mn and `m^2+n^2` is a Pythagorean triplet.

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CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. Sides of triangle are given as 8,15,17. Determine if it is a right ang...

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  2. Sides of triangle are given as 20,30,40. Determine if it is a right an...

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  3. Sides of triangle are given as 10,12,15. Determine if it is a right an...

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  4. Sides of triangle are given as 20,16,12. Determine if it is a right an...

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  5. A ladder 10 m long reaches a window 8m above the ground.Find the dista...

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  6. In triangle ABC, seg AD|side BC, B-D-C. Prove that AB^2+CD^2=BD^2+AC^2

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  7. In triangle PQR, /PQR=90^@, seg QS|side PR such that P-S-R. PS=4, PQ=6...

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  8. In triangle PQR, M is the midpoint of side QR. If PQ=11, PR=17 and QR=...

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  9. In triangle ABC, AP is a median on side BC. If AP=7,AB^2+AC^2=260, fin...

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  10. In triangle ABC, AB^2+AC^2=122 and BC=10. Find the length of the media...

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  11. Adjacent sides of a parallelogram are 11 cm and 17 cm. If the length o...

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  12. If 'O' is any point in the interior of rectangle ABCD,then prove that:...

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  13. Is 28, 21 and 35 a Pythagorean triplet?

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  14. In triangle PQR, /PQR=90^@, seg QS|hyp PR, PS=16, RS=9. Find QS.

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  15. In triangle ADC, /ADC=90^@, /C=45^@, AC=8 sqrt 2 cm. Find AD.

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  16. In triangle ABC, /B=90^@, /C=x^@, /A=(x+30)^@. Find /A.

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  17. In triangle PQR, seg PM is a median. PM=10 and PQ^2+PR^2=328, then fin...

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  18. If m and n are two distinct numbers such that m >n, then prove that m^...

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  19. State and prove the Pythagoras theorem

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  20. In an equilateral triangle ABC,the side BC is trisected at D.Prove tha...

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