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MHT CET202312 May 2023Evening ShiftMathematicsProperties of TrianglesActual

If two angles of ABC are 4 and 3 , then the ratio of the smallest and greatest sides are

Options

  1. A( 3 -1): 1
  2. B3 : 5
  3. C2 : 3
  4. D( 3 -1): 4

Correct answer

A. ( 3 -1): 1

Step-by-step solution

Let three angles of the triangle be given as A = 4 , ~B = 3 and C = 4 + 6 Let a, b, c be the opposite to angles A, B, C respectively. As A a = C c , we get Required Ratio = a c = A C = ( 4 ) ( 4 + 6 ) aligned & = 4 4 6 + 4 6 & = 2 3 +1 & = 2( 3 -1) 2 & =( 3 -1): 1 aligned

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