To find the length of x, we need to use the formula for the area of a triangle:
Area = 1/2 * base * height
Given that the area of triangle ABC is 40 cm², we can set up the equation as follows:
40 = 1/2 * 10 * x
Solving for x:
40 = 5x
x = 40/5
x = 8
So, the length of x is 8 cm, rounded to three significant figures.