Home
Class 10
MATHS
In triangle PQR, PM is a median and Q-M-...

In `triangle PQR`, PM is a median and Q-M-R. Prove that `A(triangle PQM)=A(triangle PRM)`.

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CHETANA PUBLICATION|Exercise EXERCISE|47 Videos

  • Sets

    CHETANA PUBLICATION|Exercise EXAMPLE|15 Videos

  • Statistics

    CHETANA PUBLICATION|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

In triangle PQR , ray QS bisects of /_PQR . P-S-R. Show that (A(triangle PQS))/(A(triangle QRS))=(PQ)/(QR) .

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

If triangle ABC~triangle PQR and AB:PQ=2:3 , then find x and y . (A(triangle ABC))/(A(triangle PQR))=x/(PQ^2)=4/y .

In triangle ABC,/_ABC=90^@ . triangle PAB,triangle QAC and triangle RBC are the equilateral triangles constructed on side AB, AC and BC respectively. Prove that: A(triangle PAB)+A(triangle RBC)=A(triangle QAC)

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

triangle PQR ~ triangle ABC ,PQ=3 cm,QR=4 cm,PR=5 cm. A(triangle PQR):A(triangle ABC) =1:4.Construct both triangles.

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

Prove that equilateral triangle is equiangular.

In the adjoining figure, triangle QRS is an equilateral triangle. Prove that arc RS~=arc QS~=arc QR

If in triangle ABC and triangle PQR for some one-one correspondence if (AB)/(QR)=(BC)/(PR)=(CA)/(PQ) then: a) triangle PQR~triangle ABC b) triangle PQR~triangle CAB c) triangle CBA~triangle PQR d) triangle BCA~triangle PQR

CHETANA PUBLICATION-SIMILARITY-EXERCISE
  1. In triangle ABC, AB=5, BC=6, AC=7. triangle PQR~triangle ABC. Perimete...

    Text Solution

    |

  2. In triangle ABC,/B=90^@,seg DE|side AC such that A-D-B and A-E-C. AD=6...

    Text Solution

    |

  3. In the adjoining figure, in DeltaABC, point D is on side BC such that,...

    Text Solution

    |

  4. In triangle ABC, points D and E are on sides BC and AB such that AD an...

    Text Solution

    |

  5. In triangle ABC, points D and E are on sides BC and AB such that AD an...

    Text Solution

    |

  6. In triangle ABC, M and N are points on sides AB and AC respectively. t...

    Text Solution

    |

  7. triangle DEF~triangle MNK, if DE=5 and MN=6, then find the value of A(...

    Text Solution

    |

  8. If triangle ABC~triangle DEF such that the area of triangle ABC is 9 c...

    Text Solution

    |

  9. In triangle ABC, points D and E are on sides AB and AC such that A-D-B...

    Text Solution

    |

  10. In triangle ABC, PQ is a line segment intersecting AB at point P and A...

    Text Solution

    |

  11. Intriangle ABC,/ABC=90^@.triangle PAB,triangle QAC and triangle RBC ar...

    Text Solution

    |

  12. In triangle ABC, P and Q lie on sides AB and BC such that PQ||AC. BP=6...

    Text Solution

    |

  13. In triangle ABC, points X and Y lie on AB and AC such that XY||BC, the...

    Text Solution

    |

  14. triangle ABC~triangle PQR. A(triangle ABC):A(triangle PQR)=9:16. Find...

    Text Solution

    |

  15. In triangle PQR, seg RS is the bisector of /PRQ, PS=8, SQ=6, PR=20, th...

    Text Solution

    |

  16. In triangle PQR, PM is a median and Q-M-R. Prove that A(triangle PQM)=...

    Text Solution

    |

  17. In triangle DEF, DX=4, DE=8, FY=6, DF=12 where X and Y lie on DE and D...

    Text Solution

    |

  18. In square ABCD, AB||CD. Diagonals AC and BD intersect each other at po...

    Text Solution

    |

  19. D is a point on side BC of triangle ABC such that, /ADC=/BAC. Show tha...

    Text Solution

    |

  20. Prove:In a triangle the angle bisector divides the side opposite to th...

    Text Solution

    |