Question

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

Answer 1

Answer:

• x = 2.41

Step-by-step explanation:

Area formula:

• A = 1/2bh

The height is:

• h = (x + 2)sin 45° = √2(x + 2)/2

Substitute the area value an set an equation:

• 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