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In DeltaABC,angleC =90^(@).If BC=a, CA=b...

In `DeltaABC,angleC =90^(@).`If BC=a, CA=b, AB=c and the length of the altitude from vertex C on side AB is p, then show that i. cp=ab ii. `(1)/(p)^(2)=(1)/(a)^(2)+(1)/(b)^(2)`

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TARGET PUBLICATION-PYTHAGORAS THEOREM -Aditional Problems for Practice(Based on the Practice Set 2.1)
  1. Identify the Pythagorean triplets from the following: iv. (16,63,65)

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  2. Identify the Pythagorean triplets from the following: v. (20,21,29)

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  3. Identify the Pythagorean triplets from the following: vi. (9,20,21)

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  4. See the gven figure. In DeltaABC,angleB=90^(@),angleA=30^(@),AC=14, t...

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  5. In DeltaPQR,angleP=30^(@), angleQ=60^(@), angleR=90^(@) and PQ=12cm, t...

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  6. See the given figure, In ABC, seg ADbot" seg "BC,angleC=45^(@),BD=5and...

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  7. Find the length of the altitude of an equilateral triangle with side 6...

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  8. In the given figure, angle PQR=90^(@)," seg "QNbot seg PR, PN=9,NR=16....

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  9. See the given figre. In DeltaPQR,anglePQR=90^(@)," seg "QSbot" seg " P...

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  10. In the right angled triangle, sides making right angle are 9cm and 12c...

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  11. In the adjoining figure, if anglePQR=90^(@),anglePSR=90^(@),then find ...

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  12. Find the diagonal of a square whose side is 10 cm.

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  13. Find the side of a square whose diagonal is 16sqrt(2)cm.

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  14. In DeltaLMN,l=5,m=13,n=12.State whether DeltaLMN is a right angled tri...

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  15. A ladder 10m long reaches a window 8 m above the ground. Find the d...

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  16. See the given figure. In DeltaABC," seg "ADbot" seg "BC. Prove that: A...

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  17. In DeltaABC,angleC =90^(@).If BC=a, CA=b, AB=c and the length of the a...

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  18. DeltaDEF is an equilateral triangle. Seg DPbot" side "EF, and E-P-F. ...

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  19. Prove that three times the square of any side of an equilateral-tri...

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  20. In an isosceles triangle PQR, PQ =PR and S is any point on side QR. Th...

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