Question Referring to triangle ABC, find the area of the triangle. a = 42.5 m, c = 35.5 m, B = 153.5° Round to three significant digits.

Answer: [tex]Area = 337[/tex] Step-by-step explanation: Given [tex]a = 42.5[/tex] [tex]c = 35.5[/tex] [tex]B = 153.5^\circ[/tex] Required Area of triangle This is calculated as: [tex]Area = 0.5 *a* c * \sin(B)[/tex] This gives: [tex]Area = 0.5 *42.5* 35.5 * \sin(153.5)[/tex] [tex]Area = 0.5 *42.5* 35.5 * 0.4462[/tex] [tex]Area = 336.602125[/tex] [tex]Area = 337[/tex] — approximated Log in to Reply

Answer:[tex]Area = 337[/tex]

Step-by-step explanation:Given[tex]a = 42.5[/tex]

[tex]c = 35.5[/tex]

[tex]B = 153.5^\circ[/tex]

RequiredArea of triangle

This is calculated as:[tex]Area = 0.5 *a* c * \sin(B)[/tex]

This gives:[tex]Area = 0.5 *42.5* 35.5 * \sin(153.5)[/tex]

[tex]Area = 0.5 *42.5* 35.5 * 0.4462[/tex]

[tex]Area = 336.602125[/tex]

[tex]Area = 337[/tex] — approximated