Home
Class 12
MATHS
If the angles of a triangle are 30^0a n ...

If the angles of a triangle are `30^0a n d45^0` and the included side is `(sqrt(3)+1)c m` then the area of the triangle is______.

Text Solution

AI Generated Solution

To find the area of triangle ABC with angles \(30^\circ\) and \(45^\circ\) and an included side of \((\sqrt{3} + 1) \, \text{cm}\), we can follow these steps: ### Step 1: Identify the triangle and its properties We have a triangle ABC where: - Angle A = \(30^\circ\) - Angle B = \(45^\circ\) - The included side \(AB = \sqrt{3} + 1 \, \text{cm}\) ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise example|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercises 2.1|8 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

If the angles of a triangle are 30^0a n d45^0 and the included side is (sqrt(3)+1) cm, then area of the triangle is 1/2(sqrt(3)+1)s qdotu n i t s area of the triangle is 1/2(sqrt(3)-1)s qdotu n i t s

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

In DeltaABC , If the two angles of a triangle are 30^(@) and 45^(@) and the included side is (sqrt(3)+1) cm, find the area of the triangle.

An isosceles triangle has perimeter 30 c m and each of the equal sides os 12\ c mdot Find the area of the triangle.

If the lengths of the sides of a triangle are a - b , a + b and sqrt(3a^(2)+b^(2)),(a,bgt,0) , then the largest angle of the triangle , is

An isosceles triangle has perimeter 30\ c m and each of the equal sides of 12\ c mdot Find the area of the triangle.

Two angles of a triangle are of measures 105^0\ a n d\ 30^0dot find the measures of the third angle.

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

If the measures of angles of a triangle are in the ratio of 3:4:5, what is the measure of the smallest angle of the triangle? (a) 25^0 (b) 30^0 (c) 45^0 (d) 60^0

If the two sides of a triangle of a triangle and the included angle are given by a= sqrt(3)+1, b = 2 and C = 60^(@) , find the other two angles and the third side.

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. If the angles of a triangle are 30^0a n d45^0 and the included side is...

    Text Solution

    |

  2. The circular wire of diameter 10 cm is cut and placed along the circum...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  5. The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@...

    Text Solution

    |

  6. If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alph...

    Text Solution

    |

  7. In DeltaABC, if sin A + sin B + sin C= 1 + sqrt2 and cos A+cos B+cos...

    Text Solution

    |

  8. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  9. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta...

    Text Solution

    |

  10. If tantheta-cottheta=aandsintheta+costheta=b, then, (b^2-1)^2(a^2+4...

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is (a) -15 (b) ...

    Text Solution

    |

  12. If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2...

    Text Solution

    |

  13. If x,y,z be all positive acute angles then the least value of tanx(cot...

    Text Solution

    |

  14. Three circles each of radius 1, touch one another externally and they ...

    Text Solution

    |

  15. If (cos alpha)/(cos A)+(sin alpha)/(sin A)+(sin beta)/(sin A)=1, where...

    Text Solution

    |

  16. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  17. Which of the following is true ?

    Text Solution

    |

  18. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  19. Which of the following is greatest ?

    Text Solution

    |

  20. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  21. Which of the following is not correct ?

    Text Solution

    |