Home
Class 12
MATHS
The triangle shown below has side length...

The triangle shown below has side lengths 37, 38 and 39 inches. Which of the following expression gives the measure of the largest angle of the triangle?
(Note : For every triangle with sides of length a, b and c that are opposite `/_A, /_B, and /_C`, respectively. `c^(2) = a^(2) + b^(2) - 2ab cos C`.)

A

`cos^(-1)(-(37^(2) - 38^(2) - 39^(2))/(2(38)(39)))`

B

`cos^(-1)(-(39^(2) - 37^(2) -38^(2))/(2(37)(38)))`

C

`cos^(-1)(37^(2) - 38^(2) - 39^(2) + 2(38)(39))`

D

`cos^(-1)(38^(2) - 37^(2) - 39^(2) + 2(37)(39))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 4 - MATHEMATICS TEST

    ENGLISH SAT|Exercise EXERCISE|60 Videos
  • PROBABILITY

    ENGLISH SAT|Exercise EXERCISES|16 Videos

Similar Questions

Explore conceptually related problems

The lengths of the triangle shown below are rounded to the nearest 0.1 cm. What is the area, to the nearest 1 cm^(2) of the triangle? Note: The area of any triangle with sides of length a, b and c opposite angle of measure A, B, and C, respectively, is given by 1/2 ab sin C .

A cargo ship is 4.2 miles from a lighthouse, and a fishing boat is 5.0 miles from the lighthouse, as shown below. The angle between the straight lines from the lighthouse to the 3 vessels is 5^(@) . The approximate distance in miles, from the cargo ship to the fishing boat is given by which of the following expressions? (Note: The law of cosines states that for any triangle with vertices A, B and C adn the sides opposite those vertices with length a, b, and c, respectively. c^(2) = a^(2) + b^(2) - 2ab cos C ).

A right triangle has sides measuring 12 inches , 35 inches , and 37 inches . What is the cosine of the angle that lies opposite the 35-inch side ?

The lengths of two sides of a triangle are 50 inches and 63 inches. The angle opposite the 63-inch side is 66^(@) . How many degrees are in largest angle of the triangle ?

If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a b) (where, a , b , c , are sides opposite to angles A , B , C , respectively).

If sides of triangle ABC are a, b, and c such that 2b = a + c , then

IF the lengths of the side of triangle are 3,5 and 7, then the largest angle of the triangle is pi/2 (b) (5pi)/6 (c) (2pi)/3 (d) (3pi)/4

In a right triangle with legs a and b and hypotenuse c, angles A,B and C are opposite to the sides a,b and c respectively, then e^(lnb-lna) is equal to-

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

If in a triangle acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then find the relation between the sides of the triangle.

ENGLISH SAT-PRACTICE TEST 5 - MATHEMATICS TEST-EXERCISE
  1. If a and b positive real numbers, which of the following is equivalent...

    Text Solution

    |

  2. To become a contestant on a quiz show, a person must correctly order 4...

    Text Solution

    |

  3. Which of the following expressions is equivalent to (x/3 + 1/2)/(2/3 -...

    Text Solution

    |

  4. An automobile license plate number issued by a certain state has 6 cha...

    Text Solution

    |

  5. The function y=f(x) is graphed in the standard (x, y) coordinate plan...

    Text Solution

    |

  6. When log(5) x = -2, what is x?

    Text Solution

    |

  7. Which of the following lists those integer value of D for which the fr...

    Text Solution

    |

  8. For all real number a, b and c such that a > b and c < 0. Which of the...

    Text Solution

    |

  9. The triangle shown below has side lengths 37, 38 and 39 inches. Which ...

    Text Solution

    |

  10. Pete has an average score exactly x points on 4 equally weighted tests...

    Text Solution

    |

  11. The intersection of lines l and m forms the 4 angles /A, /B, /C, and /...

    Text Solution

    |

  12. A sequence is defined for all positive integers by s(n) = 2s(n-1) + n ...

    Text Solution

    |

  13. If a is an integer less than -1. Which of the following orders the exp...

    Text Solution

    |

  14. At the school carnival. Ann is playing a game involving a stack of 10 ...

    Text Solution

    |

  15. Which of the following is equivalent to the sum of any 3 consecutive o...

    Text Solution

    |

  16. The mean of the set of 5 numbers {42, 3, 11, 27, x} is 24, and the med...

    Text Solution

    |

  17. Consider all rectangles such that the rectangle's length is greater th...

    Text Solution

    |

  18. The equation (x - 7)^(2) + (y - 8)^(2) = 10 is that of a circle that l...

    Text Solution

    |

  19. The plans for a diving pool call for a rectanglular prism that has a l...

    Text Solution

    |

  20. One solutions of the euqation 4x^(3) - 2x^(2) + x + 7 = 0 is x = -1. W...

    Text Solution

    |