In ΔTUV, v = 9.8 inches, t = 2.5 inches and ∠U=171°. Find the area of ΔTUV, to the nearest 10th of a square inch.

To find the area of ΔTUV, we can use the formula:

Area = (1/2) * base * height * sin(angle)

In this case, the base is t = 2.5 inches, the height is v = 9.8 inches, and the angle is ∠U = 171°.

Plugging these values into the formula, we get:

Area = (1/2) * 2.5 * 9.8 * sin(171°)

Area = (1/2) * 2.5 * 9.8 * 0.9848

Area ≈ 12.09 square inches

Therefore, the area of ΔTUV is approximately 12.1 square inches.