work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees

Mathematics

1 answer:

umka2103 [35]3 years ago

7 0

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = $\frac{1}{2} bc \sin A$

⇒ Δ = $\frac{1}{2} bc \sin 81$

⇒ Δ = $\frac{8.2 \times 13.5 \times \sin 81}{2}$

⇒ Δ = 54.67 cm² (Answer)

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