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Ostrovityanka [42]
3 years ago
11

Trigonometry

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
4 0

Answer:

17.6 units²

Step-by-step explanation:

Area = ½ × PQ × PR × sin(P)

= ½ × 12 × 3 × sin(78)

= 17.6066568132

Alchen [17]3 years ago
3 0

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 m\angle P = 78^{\circ}

We need to determine the area of the triangle PQR

<u>Area of the triangle:</u>

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

\text {Area}=\frac{1}{2} qr \sin P

Substituting the values, we get,

\text {Area}=\frac{1}{2}(12)(3) \sin 78

Simplifying, we have,

\text {Area}=\frac{1}{2}(36)(0.98)

Multiplying the terms, we have,

\text {Area}=\frac{35.28}{2}

Dividing, we get,

\text {Area}=17.64

Rounding off to the nearest tenth, we have,

Area=17.6

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

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