A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an included angle of π/4. The possible errors in measurement are 1/18 inch for the sides and 0.05 radian for the angle. Approximate the maximum possible error in the computation of the area. (Round your answer to two decimal places.)

maximum possible error in the computation of the area. = 0.18

Step-by-step explanation:

A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long,

with an included angle of π/4. The possible errors in measurement are 1/18 inch for the sides

and 0.01 radian for the angle. Approximate the maximum possible error in the computation of the area.

(Give your answers correct to 2 decimal places.)

AREA = A = 0.5*BC sin (T),

Where B, A and C are 2 adjacent sides and T is their included angle.

DA = 0.5[C sin (T) DB+B sin (T) DC+BC cos (T) DT ]

WE HAVE

B=3", C=4", T=π/4 DB=DC = (1/18) '', DT=0.01 Radian

DA=0.5[4sin (π/4) (1/18) + 3sin (π/4) (1/18) + 3*4cos (π/4) 0.01]

DA = 0.1799 = 0.18

maximum possible error in the computation of the area. = 0.18