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.
Question
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