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In the Delta RST, /S right angle.X and ...

In the `Delta RST, /_S ` right angle.X and Y are the midpoints of RS and ST respectively . Prove that `RY^(2) + XT^(2) = 5 XY^(2)`.

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CALCUTTA BOOK HOUSE-PYTHAGORAS THEOREM -LONG-ANSWER TYPE QUESTION
  1. In Delta ABC,/A = right angle. If CD is a median, then prove that BC^(...

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

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

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

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

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

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

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

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

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  10. In the isosceles triangle ABC, AB=AC and BE is perpendicular to AC fro...

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  11. In an isosceles right-angled triangle ABC,/B=90^(@). The bisector of /...

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  12. Prove that the sum of the areas of the squares drawn on the sides of a...

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  13. Delta PQR is a right-angled isosceles triangle of which the two sides...

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  14. P is an external point of the square ABCD. If PA gt PB ,then prove tha...

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  15. In the right-angled ABC, /A =1 right angle. BE and CF are two medians...

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  16. A perpendicular AD is drawn on BC from the vertex A of the acute Delta...

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  17. Prove that if equilateral triangles are drawn on the sides of a right-...

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  18. O is an internal point of the rectangle PQRS. Prove that OQ^(2)+OS^(2)...

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  19. In the right-angled triangle ABC,/C = 90^(@).If the length of perpendi...

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  20. Delta ABC is an equilateral triangle . D is a point on the side BC su...

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