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in the adjoining figure, Delta PQR is an...

in the adjoining figure, `Delta PQR` is an equilateral triangle. Point S is on seg QR such that `QS = 1/3 QR`, Prove that `9 PS^(2) = 7 PQ^(2)`

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`9 PS^(2) = 7 PQ^(2)`
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CHETAN PUBLICATION-PYTHAGORAS THEOREM-Problem Set - 2
  1. Find the length a diagonal of a rectangle having side 11 cm and 60 cm.

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  2. Find the length of the hypotenuse of a right angled triangle if remain...

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  3. A side of and isoceles right angled triangle is x. Find its hypotenuse...

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  4. In Delta PQR,PQ = sqrt 8, QR = sqrt 5, PR = sqrt 3 Is Delta PQR a righ...

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  5. In Delta RST, angle S = 90^(@) , angle T = 30^(@), RT = 12 cm. Find RS...

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  6. Find the diagonal of a rectangle whose length is 16 cm and area is 192...

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  7. Find the length of the side and perimeter of an equilateral triangle w...

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  8. In Delta ABC, "seg" AP "is a median". If BC = 18, AB^(2) + AC^(2) = 26...

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  9. Delta ABC is an equilateral triangle. Point P is on base BC such that ...

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  10. from the information given tn the figure, Prove that : PM = PN =sqrt ...

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  11. Prove that the sum of the squares of the squares of tha diagonals of a...

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  12. Pranali and Prased started walking to the East and to the North respec...

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  13. In Delta ABC, angle BAC = 90^(@), seg BL and seg CM are medians of Del...

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  14. Sum of squares of adjacent sides of a paralleogram is 130 cm^(2) and l...

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  15. In Delta ABC, "seg" AD bot "seg" BC, DB = 3CD. Prove that: 2 AB^(2) = ...

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  16. In an isosceles triangle, length of each congruent side is 13 cm and l...

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  17. In trapezium ABCD, seg AB ||seg DC. Seg BD bot seg AD, seg AC bot seg ...

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  18. in the adjoining figure, Delta PQR is an equilateral triangle. Point S...

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  19. Seg Pm is a median of Delta PQR. If PQ = 40, PR = 42 and PM = 29, find...

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  20. Seg AM is a median of Delta ABC, if AB = 22, AC = 34, BC = 24, find AM...

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