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In triangle PQR, /PRQ=90^@ and M is the ...

In `triangle PQR`, `/_PRQ=90^@` and M is the midpoint of QR. Prove that `PQ^2=4PM^2-3PR^2`.

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CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. In triangle PQR, /PRQ=90^@ and M is the midpoint of QR. Prove that PQ...

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  2. Out of the following which is a Pythagorean triplet? a) (1,5,10) b) (3...

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  3. In a right angled triangle, if sum of the squares of the sides making ...

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  4. Which data constitutes a Pythagorean triplet? a) (15,8,17) b) (16,8,16...

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  5. If a, b, c are sides of a triangle and a^2+b^2=c^2, then name the type...

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  6. Find perimeter of a square if its diagonal is 10sqrt 2 cm. a) 10 cm b)...

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  7. Altitude on the hypotenuse of a right angle triangle divides it in two...

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  8. Height and base of a right angled triangle are 24 cm and 18 cm, find t...

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  9. In triangle ABC, AB=6 sqrt 3 cm, AC=12 cm, BC=6 cm. Find measure of /B

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  10. In triangle RST, /S=90^@, RT=12 m, ST=8m. Find RS=……a) 10sqrt2m b) 5sq...

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  11. In triangle PQR, /PQR=90^@, QM|PR, PM=16 and RM =9 then QM=……a)12 b)25...

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  12. In triangle ABC,/B=90^@,/C=30^@,AB=6 cm then AC=…………

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  13. In triangle PQR, /Q=90^@, PQ=QR=5sqrt 2. PR=10 then /P=……a)45^@ b)30...

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  14. Which of the following is a Pythagorean triplet?

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  15. In triangle QSR,m/Q=45^@,m/S=90^@ and SR=4, find QS.

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  16. Apollonius Theorem is a theorem relating the length of ………..and sides ...

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  17. In the adjoining figure,AB^2+AC^2=122,BC=10,then find AQ………..

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  18. In triangle PQR, m/PQR=90^@, seg QS|hypPR, then: a)PS^2=QS xx PR b)QS^...

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  19. In which of the following quadrilateral, sum of squares of all sides i...

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  20. In triangle XYZ, /Y=90^@, /Z=a^@, /X=(a+30)^@. If XZ=24, find XY and Y...

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  21. Sides of triangle are given as 8,15,17. Determine if it is a right ang...

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