Home
Class 10
MATHS
In triangle ABC, seg AP is a median. If ...

In `triangle ABC`, seg AP is a median. If `BC=18`, `AB^2+AC^2=260`, then find AP.

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 ABC , AP is a median on side BC. If AP=7, AB^2+AC^2=260 , find BC.

In triangle PQR , seg PM is a median. PM=10 and PQ^2+PR^2=328 , then find QR.

In the given figure, seg PM is a median of DeltaPQR.PM=9andPQ^(2)+PR^(2)=290, then find QR.

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

Seg AM is a median of triangle ABC . If AB=22, AC=34, BC=24, find AM.

In DeltaABC Seg BD bisects /_ABC . If AB=x, BC=x+5, AD=x-2, DC=x+2 , then find the value of x .

In triangle ABC , /_B=90^@ and AB = BC. If AC = 2sqrt2 , then find AB and BC.

In triangle ABC , seg AD_|_side BC , B-D-C. Prove that AB^2+CD^2=BD^2+AC^2

Draw triangle ABC ,AB=AC=4 cm,BC=6 cm.

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

CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. In triangle ABC, seg AP is a median. If BC=18, AB^2+AC^2=260, then fin...

    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

    |