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If the following are the lengths of the three sides of a triangle, then write the cases where the triangles are right -angled triangles `:`
(a) 8cm,15 cm,17 cm (b) 9 cam,11 cm , 6 cm ,

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CALCUTTA BOOK HOUSE-PYTHAGORAS THEOREM -LONG-ANSWER TYPE QUESTION
  1. If the following are the lengths of the three sides of a triangle, the...

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  2. In the road of Laxmi's locality there is a ladder of 15m length kept i...

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  3. If the length of one diagonal of a rhombus having the side10 cm length...

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  4. PQR is a triangle whose /Q is right angle. If S is any point on QR, t...

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  5. Prove that the sum of squares drawn on the sides of a rhombus is equal...

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  6. ABC is an equilateral triangle. AD is perpendicular to BC. Prove that ...

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  7. ABC is a right-angled triangle of which /A = right angle. P and Q are...

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  8. If the diagonals of the quadrilateral ABCD intersect each other orthog...

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  9. AD is the height of the triangle ABC. If AB gt AC,then prove that AB^...

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  10. Two perpendicular BD and CE are drawn from the vertices B and C respe...

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  11. ABC is a right-angled isoscels triangles of which /C is a right angle...

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  12. In Delta ABC,/A = right angle. If CD is a median, then prove that BC^(...

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  13. OX,OY and OZ are the perpendiculars drawn from an internal point O of ...

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  14. In the Delta RST, /S right angle.X and Y are the midpoints of RS and ...

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  15. If in DeltaABC, AD| BC,then prove that AB^(2) + CD^(2) = AC^(2) + BD^...

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  16. Prove that the area of the square drawn on the diagonal of a square is...

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  17. O is any point inside a rectangle ABCD, Prove that OA^(2) + OC^(2)= OB...

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  18. ABCD is a rhombus.Prove that AB^(2) + BC^(2) +CD^(2) + DA^(2) = AC^(2)...

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  19. In Delta ABC, AD| BC . Prove thatAB^(2) - BD^(2) =AC^(2) -CD^(2)

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  20. In Delta ABC , AD| BC which intersects BC at D. If BD =3 CD, then pro...

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