Home
Class 9
MATHS
In the adjoining figure, DeltaABC is rig...

In the adjoining figure, `DeltaABC` is right angled at C and M is the mid-point of hypotenuse AB, If AC = 32 cm and BC = 60 cm, then find the length of CM.

Text Solution

Verified by Experts

The correct Answer is:
34 cm
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7b|17 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|5 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, ABC is a triangle right-angled at vertex A and AD is altitude. If BD = 3.6 cm and CD = 6.4 cm, find the length of AD.

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

In the adjoining figure O is the centre of circle and c is the mid point. the radius of circle is 17 cm . if OC=8cm, then find the length of chord AB.

In the adjoining figure, AB = 8 cm, DM = 6 cm and BC = 6 cm . Find the length of DN

In the adjoining figure , DeltaABC is a right - angled triangle , right - angled at B. If angleA=30^(@)andAC=8cm , Find (i)BC (ii)AB.

In the adjoining figure, O is the centre of the circle and AB is its diameter. If AC=8 cm and BC= 6cm, then find the radius of the circle.

Construct a right angled DeltaABC , right angled at A if hypotenuse BC = 5 cm and side AB = 3 cm.

In DeltaABC , angleA is right - angled . If AB= 1 cm , AC =3 cm and BC = sqrt(10) cm , then find the values of cos B and sin C.

In the given figure Delta ABC is right angled at A. Semicircles are drawn on AB, BC and AC as diameters. It is given that AB=3 cm and AC=4cm then find the area of the shaded region

In trapezium ABCD, AB//DC. M is mid point of AD and N is mid-point of BC. If AB = 8 cm and DC = 11 cm , find MN.

NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. The following figure shows a square ABCD and an equilateral triangle D...

    Text Solution

    |

  2. The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are...

    Text Solution

    |

  3. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

    Text Solution

    |

  4. In the given figure, angleBDC=angleBEA and AB = BC. Show that AE=CD.

    Text Solution

    |

  5. If the diagonals of a quadrilateral bisect each other at right angle, ...

    Text Solution

    |

  6. In the adjoining figure, BM and DN are the perpendiculars from B and D...

    Text Solution

    |

  7. In the adjoining figure, AB=EF, BC=DE, angleABC=angleFED=90^(@), prove...

    Text Solution

    |

  8. In the adjoining figure, ABCD is a parallelogram. If angleMBC = angleN...

    Text Solution

    |

  9. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

    Text Solution

    |

  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

    Text Solution

    |

  11. In the adjoining figure, ABCD is a paralogram. The side AB is produced...

    Text Solution

    |

  12. In the following figures, AB=PQ, AC=PR and AM=PN. Prove that DeltaABC ...

    Text Solution

    |

  13. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  14. ABCD is a square EF is parallel to BD. R is the mid-point of EF. Prove...

    Text Solution

    |

  15. The following figure shows a triangle ABC in which AB = AC. M is a poi...

    Text Solution

    |

  16. In the given figure, AB"||"DC and angleD=angleC. Prove that : (i) AD...

    Text Solution

    |

  17. In the given figure : AB//FD, AC//GE and BD = CE, prove that : (i) B...

    Text Solution

    |

  18. In the adjoining figure, angleAYZ=angleBYX=90^(@), AY = YZ and XY = BY...

    Text Solution

    |

  19. In the adjoining figure, ABCD is a square and PAB is an equilateral tr...

    Text Solution

    |

  20. In the adjoining figure, DeltaABC is right angled at C and M is the mi...

    Text Solution

    |