Respuesta :
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 = [tex]\frac{1}{2} bc \sin A[/tex]
⇒ Δ = [tex]\frac{1}{2} bc \sin 81[/tex]
⇒ Δ = [tex]\frac{8.2 \times 13.5 \times \sin 81}{2}[/tex]
⇒ Δ = 54.67 cm² (Answer)
Answer:
12.1
Step-by-step explanation:
[tex]\frac{sin(81)}{13.5} =\frac{sin(x)}{8.2}[/tex] = x=sin⁻¹[tex](\frac{sin(81)}{13.5}* 8.2)[/tex]=36.9°
81°+36.9°=117.9°
180°-117.9°=62.1°
[tex]\frac{x}{sin(62.1)} = \frac{8.2}{sin(36.9)} =\frac{8.2}{sin(36.9)}*(62.1)=[/tex] 12.1cm
AC=12.1cm
