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Dmitriy789 [7]
2 years ago
9

Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Mathematics
1 answer:
aleksandrvk [35]2 years ago
7 0

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

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