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AP EAMCET202317 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In ABC , if ^2 ~A + ^2 ~B + ^2 C =1 , then ABC is

Options

  1. Aan equilateral Triangle
  2. Ban isosceles triangle
  3. Ca right angled triangle
  4. Da scalene triangle

Correct answer

C. a right angled triangle

Step-by-step solution

^2 ~A + ^2 ~B + ^2 C =1 aligned & ^2 A+ ^2 B- ^2 B=0 & ^2 A+ (B+C) (B-C)=0 & ^2 A+ (180-A) (B+C)=0 & A( A- (B-C))=0 & A(- (B+C)- (B-C))=0 & A B C=0 aligned Either A=90^ or B=90^ or C=90^ So, its triangle with on angle =90^ Here ABC is right angle triangle.

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