Home
Class 10
MATHS
In triangle PQR, point S is the midpoint...

In `triangle PQR`, point S is the midpoint of side QR. If PQ=11, PR=17, PS=13, then find QR.

Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    CHETANA PUBLICATION|Exercise EXERCISE|39 Videos

  • Probability

    CHETANA PUBLICATION|Exercise EXERCISE|45 Videos

  • Quadratic Equations

    CHETANA PUBLICATION|Exercise EXERCISE|98 Videos

Similar Questions

Explore conceptually related problems

In triangle PQR , M is the midpoint of side QR. If PQ=11, PR=17 and QR=12, then find PM.

In the adjoining figure, if PQ=6, QR=10, PS=8, then find TS.

Seg PM is a median of triangle PQR . If PQ=40, PR=42 and PM=29, find QR.

M is midpoint of seg PQ. Find PM, if PQ=13 cm.

In triangle ABC , point M is midpoint of side BC. If AB^2+AC^2=290cm^2 and AM=8 cm, find BC.

In the adjoining figure, point Q is the point of contact of tangent and the circle. If PQ=12, PR=8, then find PS and RS.

In the figure , S is the midpoint of seg PQ . Line ST || side QR and PT = 5 cm , then find PR. Justify your answer.

In triangle PQR , seg RS is the bisector of /_PRQ , PS=8, SQ=6, PR=20, then QR=……a)10 b)15 c)30 d)40

In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

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

CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. In triangle PQR, point S is the midpoint of side QR. If PQ=11, PR=17, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Which of the following is a Pythagorean triplet?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |