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In triangle ABC, angle C = angle 90, D i...

In `triangle ABC`, `angle C = angle 90`, D is the mid point of BC,
Prove that `AB^2` = `4AD^2 -3AC^2`.

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BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. In a quadrilateral ABCD, angleB = 90^0, AD^2= AB^2 + BC^2 + CD^2. P...

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  2. In the adjacent figure, ABC is a triangle in which angle ABC < angle 9...

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  3. In triangle ABC, angle C = angle 90, D is the mid point of BC, Prove...

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  4. Determine whether the triangle having sides (a - 1)cm, 2 sqrt a cmand ...

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  5. In an equilateral triangle ABC, ADbotBC meeting BC in D then AD^2=…………...

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  6. In a paralledogram, the sum of the square of the lengths of the diagon...

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  7. From the figure angle DAC

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  8. The ratio of the corresponding sides of two similar triangles is 5:3. ...

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  9. If triangle ABC ~ triangle DEF, BC = 4 cm, EF = 5 cm and area triangle...

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  10. In the figure, DE//BC and AD:DB=1:2 then areaDeltaADE:DeltaABC=

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  11. DeltaABC~DeltaPQR, M is the midpoint of BC and N is the midpoint of QR...

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  12. In DeltaPQR,PQ=6sqrt3cm, PR=12cm and QR=6cm , then angleQ=

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  13. The lengths of diagonals of a rhombus are 24 cm and 32 cm, then the pe...

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  14. Which of the following does not belongs to side of the right triangle?

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  15. In an isosceles DeltaPQR,PR=QR and PQ^2=2PR^2, then angleR=

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  16. In DeltaABC the midpoints are D,E and F of the sides AB,BC and CA, the...

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  17. If the diagonal of a square is 7sqrt2 cm, then its area is

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  18. In the figure AB = 2.5 cm, AC = 3.5 cm. If AD is the bisector of angle...

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  19. In the figure DE divides AB and AC in the ratio 1 : 3 If DE = 2.4 cm t...

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  20. The height of an equilateral triangle whose side is a units is

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