Home
Class 12
MATHS
The lengths of the two larger sides of a...

The lengths of the two larger sides of a triangle are 10 and 9. If the angles are in A.P, then the length of the third side can be

A

`5pmsqrt6`

B

`3sqrt3`

C

5

D

`sqrt5 pm 6`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

In a triangle, the lengths of thw two larger sides are 10 and 9, respectively. If the angles are in A.P., then the length of the third side can be

Two sides of a triangle are 12cm and 14cm. The perimeter of a triangle is 36cm. What is the length of the third side?

The sides of a right angled trinagles are in A.P., then they are in the ratio

The lengths of two sides of a triangle are 6 cm and 9 cm. Write all the possible lengths of the Third side.

The sides of a right angled triangle are in A.P then they are in the ratio

If the lengths of the sides of triangle are 3, 5, and 7, then the largest angle of the triangle is

Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the length of third side?

If the lengths of the sides of a triangle are 3 , 4,5 find the circumradius of the triangle .

If the length of sides of right angled triangle are in A.P., then the sines of the acute angles are

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. In Delta ABC, if a=7,b=7sqrt3 and right angled at C, then c=

    Text Solution

    |

  2. If the angles of a triangle are in A.P,a=2, c=4 then b=

    Text Solution

    |

  3. The lengths of the two larger sides of a triangle are 10 and 9. If the...

    Text Solution

    |

  4. If the angles of a triangle are 30^@,45^@ and the included side is sqr...

    Text Solution

    |

  5. If two angles of a Delta ABC are 45^@ and 60^@, then the ratio of the ...

    Text Solution

    |

  6. In a triangle if the sum of two sides is x and their product is y such...

    Text Solution

    |

  7. IF 4,5 are two sides of a triangle and the included angle is 60^@, the...

    Text Solution

    |

  8. IF 13,14,15 are the sides of the triangle , then the area of the trian...

    Text Solution

    |

  9. In Delta ABC, if a= 2, B=120^@, C=30^@, then the area of the triangle ...

    Text Solution

    |

  10. In Delta ABC, if c^2=a^2+b^2,2s=a+b+c, then 4s(s-a)(s-b)(s-c)=

    Text Solution

    |

  11. In Delta ABC, if a=4, b=3 angle A=60^@, then c is the root of the equa...

    Text Solution

    |

  12. In a triangle ABC, medians AD and BE are drawn.IF angle D=4, angle DAB...

    Text Solution

    |

  13. If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)...

    Text Solution

    |

  14. The straight roads intersect at angle of 60^@. A bus on one road is 2k...

    Text Solution

    |

  15. In Delta ABC, if a=5, A=30^@, then the circumradius is

    Text Solution

    |

  16. If the length of each side of an equilateral triangle is 10 cm, then i...

    Text Solution

    |

  17. The diameter of the circumcircle of the triangle whose sides 61,60,11 ...

    Text Solution

    |

  18. IF the sides of a triangle ABC are 6,8,10 unit , then the radius of i...

    Text Solution

    |

  19. IF the perimeter of a triangle is 12 times the arithmetic mean of the ...

    Text Solution

    |

  20. In Delta ABC, if b=c=R then A=

    Text Solution

    |