Trigonometry
Objective: Use trigonometry functions to find the area of triangles.
In ΔABC, AB=19, AC=24, and in m< Δ=65*. Find the area of ΔABC to the nearest tenth of a square unit.

The area of the triangle ABC is 207.5 square units.

Explanation:

The measurements of the sides of the triangle are , and

We need to determine the area of the triangle ABC.

Area of the triangle:

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

where , and

Substituting these values in the above formula, we get,

Simplifying the values, we get,

Rounding off to the nearest tenth, we get,

Thus, the area of the triangle ABC is 207.5 square units.

206.6 units²

Step-by-step explanation:

Area = ½ × AB × AC × sin(A)

= ½ × 19 × 24 × sin(65)

= 206.6381754444

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x