The area of a triangle abc is 4√2 m²

x = 3.08

Step-by-step explanation:

Construct a perpendicular AD from point A to opposite side BC,

By sine ratio,

sin(45)° =

AD =

Area of a triangle =

                             =

(2x - 3)(x + 2) = 16

2x(x + 2) - 3(x + 2) = 16

2x² + 4x - 3x - 6 = 16

2x² + x - 6 = 16

2x² + x - 22 = 0

By using quadratic formula,

x =

x =

x = 3.076, -3.576

x ≈ 3.08, -3.58

But length of the sides can't be negative

Therefore, x = 3.08 will be the answer.

a

step-by-step explanation:

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