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ABCD is a rhombus.Prove that AB^(2) + BC...

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

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CALCUTTA BOOK HOUSE-PYTHAGORAS THEOREM -LONG-ANSWER TYPE QUESTION
  1. Prove that the area of the square drawn on the diagonal of a square is...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Prove that if the difference of the areas of the squares drawn on any...

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  18. In Delta ABC,AD is a perpendicular drawn from A to the side BC. If AD...

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  19. One of the two acute angles of a righ-angled triangle is twice the oth...

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  20. In Delta ABC, /A is a right angle and AO is perpendicular to BC. Prov...

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