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AP EAMCET202315 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In ABC , if ^2 ~B = C and 3 ^2 ~B =2 ^2 C , then ABC is

Options

  1. Aa right angled triangle
  2. Ban isosceles triangle
  3. Can equilateral triangle
  4. Da scalene triangle

Correct answer

D. a scalene triangle

Step-by-step solution

Given 2 ^2 C=3 ^2 B 2-2 ^2 C=3 (1- ^2 B ) aligned & 2-2 ^2 C=3-3 C & 2 ^2 C-3 C+1=0 & (2 C-1)( C-1) & C= 1 2 , 1 C= 6 or 2 aligned So A B C is a scalene triangle.

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