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In a square ABCD, show that AC^(2) = 2AB...

In a square ABCD, show that `AC^(2) = 2AB^(2)`.

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In a rhombus ABCD, prove that AC^(2) + BD^(2) = 4AB^(2)

In a quadrilateral ABCD prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)+BD^(2)+4PQ^(2) where P and Q are middle points of diagonals AC and BD.

In rhombus ABCD,show that 4AB^(2)=AC^(2)+BD^(2)

For a rhambus ABCD , prove that 4 AB ^(2) = AC^(2) + BD^(2)

In a quadrilateral ABCD ,prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)+BD^(2)+4PQ^(2) where P and Q are middle points of diagonals AC and BD.

In a quadrilateral ABCD, show that (AB+BC+CD+DA)lt2(BD+AC).

In a quadrilateral ABCD, show that (AB+BC+CD+DA)gt(AC+BD) .

If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) are the vertices of square ABCD , show that square ABCD is a parallelogram.

In a rhombus prove that sum of squares of sides is equal to sum of square of diagonals or, In a rhombus ABCD prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)+BD^(2)

If A and B are square matrices of the same order such that AB=BA ,then show that (A+B)^(2)=A^(2)+2AB+B^(2)

NAGEEN PRAKASHAN-TRIANGLES -Exercise 6d
  1. The side of a rhombus is 13 cm. if one if the diagonals is 24 cm, find...

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  2. In the adjoining figure: anglePSQ= 90^(@) , PQ= 10 cm , QS = 6cm and R...

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  3. ABC is a isosceles right angled triangle, right angled at C. prove tha...

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  4. triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) ...

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  5. In an equilateral triangleABC, AD is the altitude drawn from A on the ...

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  6. M and N are the points on sides QR and PQ respectively of a trianglePQ...

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  7. In a square ABCD, show that AC^(2) = 2AB^(2).

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  8. In a rhombus ABCD, prove that AC^(2) + BD^(2) = 4AB^(2)

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  9. In triangle ABC, angleA = 90^(@) , CA= AB and D is a point on AB pordu...

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  10. The following figure shows a triangle ABC in which AD is a median and ...

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  11. From a point O in the interior of a A B C , perpendiculars O...

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  12. In a right triangle ABC, right angled at A, AD is drawn perpendicular ...

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  13. In the given figure , ABC is a right triangle, right angled at B. Medi...

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  14. In the given figure , angleQPR= 90^(@) QR = 26 cm PM = 6cm, MR = 8c...

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  15. Given a right angled triangleABC. The lengths of the sides containing ...

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  16. In an acute angled triangle , express a median in term of its sides.

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  17. In a quadrilateral ABCD, angleB=90^(@) and AD^(2)= AB^(2) + BC^(2)+CD^...

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  18. ABC is a right triangle right angled at C and AC = sqrt3BC . Prove th...

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  19. In triangleABC , angleA= 60^(@) prove that BC^(2)= AB^(2)+AC^(2)- AB ....

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  20. In the adjoining figure, find x,y and h.

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