Question

(x + 3) metres

(2x - 1)metres
The area of triangle ABC is 6√2 m².
Calculate the value of x.
Give your answer correct to 3 significant figures.

Answer 1

Answer: 2.63

Explanation:

Using the formula
`A=(1)/(2) ab \sin C`,

`6√(2)=(1)/(2)(2x-1)(x+3) \sin 45^(\circ)\\\\6√(2)=((2x-1)(x+3))/(2) \cdot (√(2))/(2)\\\\6=((2x-1)(x+3))/(4)\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=(-5 +√(5^2 -4(2)(27)))/(2(2)) \text{ } (x > 0)\\\\x=(√(241)-5)/(4) \approx 2.63`