Home
Class 14
MATHS
In figure, ABC is a right triangle, righ...

In figure, ABC is a right triangle, right angled at B. AD and CE are the two medians drawn from A and C respectively. If AC = 5 cm and `AD=(3sqrt5)/(2)cm`, find the length of CE:

A

`2sqrt5` cm

B

2.5 cm

C

5 cm

D

`4sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

In Fig.4.192,ABC is a right triangle right- angled at B.AD and CE are the two medians drawn from A and C respectively.If AC=5cm and AD=(3sqrt(5))/(2)cm, find the length of CE. (FIGURE)

ABC is right triangle right angled at B.If BD is the length of the perpendicular drawn from B to AC then

In the given figure , ABC is a right triangle, right angled at B. Medians AD and CE are of respective length 5 cm and 2sqrt5 cm . Find the length of AC.

In given figure, ABC is a triangle right angled at B and BD bot AC. If AD=4 cm and CD= 5 cm, then find BD and AB.

In Figure,ABC is an isosceles triangle with AB=AC,BD and CE are two medians of the triangle.Prove that BD=CE

In Figure ABC is an isosceles triangle right angled at C with AC = 4 cm . Find the length of AB .

In Delta ABC, DE || AC, D and E are two points on AB and CB respectively, If AB=10 cm and AD =4 cm, then BE : CE is

In Figure,ABC is a right triangle right angled at B and points DandE trisect BC. Prove that 8AE^(2)=3AC^(2)+5AD^(2)

Delta ABC is right-angled at C. If AC=5cm and BC=12cm find the length of AB.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. In the given figure AB = 12, AC = 15 cm and AD = 6 cm. BC||DE, find th...

    Text Solution

    |

  2. In the figure, ABC is a triangle in which AB = AC. A circle through B ...

    Text Solution

    |

  3. In figure, ABC is a right triangle, right angled at B. AD and CE are t...

    Text Solution

    |

  4. In a triangle ABC,AB = 10 cm, BC = 12 cm and AC = 14 cm. Find the leng...

    Text Solution

    |

  5. triangle ABC is a right angled at A and AD is the altitude to BC. If A...

    Text Solution

    |

  6. Area of DeltaABC=30cm^(2). D and E are the mid - points of BC and AB r...

    Text Solution

    |

  7. The three sides of a triangles are given which one of the following is...

    Text Solution

    |

  8. In the figure AD is the external bisector of angleEAC, intersects BC p...

    Text Solution

    |

  9. In DeltaABC, AB^(2)+AC^(2)=2500cm^(2) and median AD = 25 cm, Find BC:

    Text Solution

    |

  10. In the given figure, AB = BC and angleBAC = 15^(@), AB=10cm. Find the ...

    Text Solution

    |

  11. In ABC, G is the centroid, AB = 15 cm, BC = 18 cm and AC = 25 cm. Find...

    Text Solution

    |

  12. In thegiven figure, if (DE)/(BC)=(2)/(3) and if AE = 10 cm. Find AB :

    Text Solution

    |

  13. Find the maximum area that can be enclosed in a triangle of perimeter ...

    Text Solution

    |

  14. In the figure AD = 12 cm, AB = 20 cm and AE = 10 cm. Find EC :

    Text Solution

    |

  15. In the given figure, BC=AC=AD, angleEAD=81^(@). Find the value of x :

    Text Solution

    |

  16. What is the ratio of inradius to the circumradius of a right angled tr...

    Text Solution

    |

  17. In a triangle ABC,AC=BC, Point D lies on BC such that CD=AD=AB. Find a...

    Text Solution

    |

  18. In a triangle ABC,AD is the angle bisector of angle CAB and a median t...

    Text Solution

    |

  19. Two boys start running at the same time in the same direction at a spe...

    Text Solution

    |

  20. The ratio of the length and the breadth of a rectangle is 4 : 3 and th...

    Text Solution

    |