Home
Class 12
MATHS
IF 4,5 are two sides of a triangle and t...

IF 4,5 are two sides of a triangle and the included angle is `60^@`, then its area is

A

3

B

5

C

`5sqrt3`

D

`3sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
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

If 4,5 are two sides of a triangle and included angle 60 ^(@) , then its area is

if 6,10,4 are the sides of a triangle then its obtus angle is

If two sides of a triangle are 3 feet and 12 feet and included angle is 150^(@) then the area of the triangle in square feet is a

If the sides of a triangle are 5, 7, 8 then its area is

The sides of triangle are 4,5,6 then area is

If the angles of a triangle are 30^@,45^@ and the included side is sqrt3+1 , then the remaining sides are

2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid is (2, 3) then area of triangle is

If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)x+1=0 and the included angle is 60^@ , then the third side is

Construct a triangle with two sides of length of your choice and the non-included angle as an obtuse angle. Can you draw two triangles in this solution?

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. If two angles of a Delta ABC are 45^@ and 60^@, then the ratio of the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. IF the area of the triangle ABC is a^2-(b-c)^2, then its circumradius ...

    Text Solution

    |

  18. If Delta =a^2-(b-c)^2, is the area of the triangle ABC, then tan A=

    Text Solution

    |

  19. IF the sides of a triangle are 7,4sqrt3,sqrt13 then its smallest angle...

    Text Solution

    |

  20. In Delta ABC, if cot""A/2: cot""B/2:cot ""C/2=1:4:15, then the greates...

    Text Solution

    |