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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.

Sagot :

MrRoyal

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

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