A triangle with base 1 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)

Step-by-step explanation:

Left line:

slope (m) = 1 and y - intercept (b) = 3

equation in slope-intercept (y = mx + b) format is: y = x + 3

this line exists only when x ≤ 2

Right line:

a point on the line = (2, 5) and slope (m) = -1

equation in point-slope [y - y₁ = m(x - x₁)] format is: y - 5 = -(x - 2)

convert that to slope-intercept format: y = -x + 2 + 5  ⇒  y = -x + 7

this line only exists when x ≥ 2