Home
Class 12
MATHS
The sides of a triangle are three consec...

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smalles one. Determine the largest and smallest sides of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 6 : SINGLE INTEGER ANSWER TYPE QUESTIONS|1 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|21 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 5: MATCHING TYPE QUESTIONS|4 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smalles one. Determine the sides of the triangle.

In triangle ABC, if angleA=40^@ and angleB=60^@ . Determine the longest and shortest sides of the triangle.

If the sides of a triangle are in GP and its largest angle is twice tha smallset then the common ratio r satisfies the inequality

If the sides of a triangle are in GP and its largest angle is twice tha smallset then the common ratio r satisfies the inequality

The sides of a triangle are 8 cm, 10 cm and 12 cm. Prove that the greatest angle is double of the smallest angle.

The figure formed by parallelogram is 24^@ less than twice the smallest angles, then the largest side angle of the paralellogram is

If two sides of a triangle are unequal, then larger side has a smaller angle opposite to it.

Two triangles are congruent if two sides of one triangle are respectively equal to the two sides of other triangle.

Write the : Angle opposite to the side LM of triangle LMN

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Integer Answer Type Questions)
  1. If in Delta ABC, / C=pi/8, a= sqrt2 and b= sqrt(2+sqrt2) then find the...

    Text Solution

    |

  2. If in A B C ,A=pi/7,B=(2pi)/7,C=(4pi)/7 then a^2+b^2+c^2 must be (a)R...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. The orthocenter of the triangle formed by (0,0),(5,−1) and (−2,3) is

    Text Solution

    |

  5. With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r...

    Text Solution

    |

  6. ABC is a triangle and D is the middle point of BC. If AD is perpendicu...

    Text Solution

    |

  7. The rational number which equals the number 2. 357 with recurring de...

    Text Solution

    |

  8. In triangle ABC, r=(R )/(6) and r(1)=7r. Then the measure of angle A =

    Text Solution

    |

  9. In a DeltaABC, the maximum value of 120((sum a cos ^(2)((A)/(2)))/(a+...

    Text Solution

    |

  10. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  11. In DeltaABC, angle C = 2 angle A, and AC = 2BC, then the value of (a^(...

    Text Solution

    |

  12. If a,b and A are given in a triangle and C(1), C(2) are the possible v...

    Text Solution

    |

  13. In Delta ABC, a=5, b=4, c=3. G is the centroid of triangle. If R(1) ...

    Text Solution

    |

  14. A triangle A B C is inscribed in a circle with centre at O , The lines...

    Text Solution

    |

  15. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

    Text Solution

    |

  16. In a cyclic quadrilateral PQRS, PQ= 2 units, QR= 5 units, RS=3 units ...

    Text Solution

    |