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Question

Find the third side of a triangle whose two sides are (3x25x) cm  and (4x2+12) cm and perimeter is (8x29x+4) cm.


  1. (x2+4x8) cm

  2. (x24x+8) cm

  3. (x24x8) cm

  4. (x2+4x+8) cm


Solution

The correct option is C

(x24x8) cm


Let the unknown side be y cm.

Perimeter of the triangle = sum of its three sides

 8x29x+4 = (3x25x) + (4x2+12) +y

 y=(8x29x+4)(3x25x)(4x2+12)

 y=8x29x+43x2+5x4x212

 y=8x24x23x29x+5x+412

 y=(x24x8) cm

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