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AP EAMCET201822 Apr 2018Evening ShiftMathematicsProperties of TrianglesActual

Consider the following statements. I. In A B C , if c=6 and C= -11 25 , then R= 25 2 14 II. In A B C , if a=3, b=4, c=6 , then A B C is acute angled triangle. Which of the above statements is/are true?

Options

  1. AOnly I
  2. BOnly II
  3. CBoth I and II
  4. DNeither I nor II

Correct answer

A. Only I

Step-by-step solution

Given statements, I. In A B C , if c=6 and C=- 11 25 . Then, C= 1- 121 625 = 625-121 625 = 504 25 = 6 14 25 c C =2 R R= 6 2 6 14 25 = 25 2 14 So, statement (I) is true. II. In A B C , if a=3, b=4, c=6 , then aligned & C= a^2+b^2-c^2 2 a b = 9+16-36 2 3 4 =- 11 24 & C < 0 aligned A B C is a obtuse angled triangle. So, Statement (II) is false.

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