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If A be the area of a right Deltaand b b...

If A be the area of a right Deltaand b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is `(2Ab)/(sqrt(b^(4)+4A^(2))`.

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KUMAR PRAKASHAN-TRIANGLES-PRACTICE THOROUGHLY
  1. In DeltaABC, D and E are points on the sides AB and AC respectively su...

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  2. DeltaABC ~ DeltaPQR. If AB= 6.5 cm, PQ= 10.4 cm and the perimeter of D...

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  3. In DeltaABC, D and E are points of sides AB and AC such that DE||BC. I...

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  4. An aeroplane leaves an airport and flies due west at a speed of 2100 k...

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  5. In the given figure, OA= 3cm, OB= 4 cm, /AOB= 90^(@), AC= 12 cm" and "...

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  6. In trapezium ABCD, AB||CD and AB= (1)/(3)CD. The diagonals AC and BD i...

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  7. DeltaABC" and "DeltaDEF are two equilateral triangles of sides 4 cm an...

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  8. A girl of height 100 cm is walking away from the base of a lamp-post a...

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  9. In triangleABC, /C= 90^(@) and P and Q are the midpoints of BC and AC ...

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  10. In the given figure, /B= 90^(@). If AE= CD= 13 cm and BE= AD= 5 cm, th...

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  11. In the given figure, EFGD is a square and /BAC= 90^(@). Prove that BF ...

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  12. In right angled DeltaABC, /C= 90^(@) and D, E, F are three points on B...

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  13. In an equilateral ABC, E is a point on BC such that BE= (1)/(4)BC. Pro...

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  14. A rhombus has each side of length 20 cm and one pair of opposite angle...

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  15. In DeltaABC, /B=90^(@). D and E are any points on sides AB and BC resp...

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  16. In DeltaABC, /B= 90^(@) and BM is an altitude. Prove that (1)/(BM^2)= ...

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

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  18. In equilateral DeltaABC, D is a point on BC such that BD= (1)/(3)BC. P...

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  19. If A be the area of a right Deltaand b be one of the sides containing ...

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  20. The perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, f...

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