In △XYZ , XZ=11 , YZ=8 , and m∠Z=31∘ .

What is the area of the triangle?

Enter your answer, rounded to the nearest tenth of a square unit, in the box.

The area of the triangle is 22.7 units²

Step-by-step explanation:

We can use trigonometry to find the area of an triangle if we have the length of two sides and the measure of the included angle between them, using the rule A = (a)(b)(sin C), where

In Δ XYZ

∵ XZ = 11 units

∵ YZ = 8 units

∵ The angle between XZ and YZ is ∠Z

∵ m∠Z = 31°

- We can use the formula of the area above

∴ A =   (11)(8)(sin 31)

∴ A = 44 sin 31

∴ A = 22.6616753

- Round it the the nearest tenth

∴ A = 22.7 units²

The area of the triangle is 22.7 units²

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step-by-step explanation:

answer: $1794

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