Trigonometry
Objective: Use trigonometry functions to find the area of triangles.

In ΔXYZ, XY=13, XZ=8, and m< x=34*. Find the area of ΔXYZ, to the nearest tenth of a square unit.

The area of the triangle XYZ is 29.1 square units

Explanation:

Given that the measurements of the sides of the triangle XYZ are , and

We need to determine the area of the triangle XYZ

Area of the triangle:

The area of the triangle can be determined using the formula,

Substituting the values, we get,

Simplifying, we get,

Multiplying the terms, we get,

Dividing the terms, we have,

Rounding off to the nearest tenth, we get,

Thus, the area of the triangle XYZ is 29.1 square units.