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.<

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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.

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Mathematics Mộc Miên 4 years 2021-08-22T17:59:10+00:00 2021-08-22T17:59:10+00:00 1 Answers 12 views 0

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Amity · Answer 1 · 2021-08-22T18:00:51+00:00

Amity

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2021-08-22T18:00:51+00:00 August 22, 2021 at 6:00 pm

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Answer:

$Area = 337$

Step-by-step explanation:

Given

$a = 42.5$

$c = 35.5$

$B = 153.5^\circ$

Required

Area of triangle

This is calculated as:

$Area = 0.5 *a* c * \sin(B)$

This gives:

$Area = 0.5 *42.5* 35.5 * \sin(153.5)$

$Area = 0.5 *42.5* 35.5 * 0.4462$

$Area = 336.602125$

$Area = 337$ — approximated