Trigonometry
Objective: Use trigonometry functions to find the area of triangles.
In ΔPQR, PQ=12, PR=3, and m< P=78. Find the area of ΔPQR, to the nearest tenth of a square unit.

The area of the triangle PQR is 17.6 square units.

Explanation:

Given that the sides of the triangle are PQ = 12 and PR = 3 and

We need to determine the area of the triangle PQR

Area of the triangle:

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

Substituting the values, we get,

Simplifying, we have,

Multiplying the terms, we have,

Dividing, we get,

Rounding off to the nearest tenth, we have,

Thus, the area of the triangle PQR is 17.6 square units.

17.6 units²

Step-by-step explanation:

Area = ½ × PQ × PR × sin(P)

= ½ × 12 × 3 × sin(78)

= 17.6066568132

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