Question
Asked Nov 21, 2019
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The problem refers to triangle ABC. Find the area of the triangle. Round to three significant digits.
115.40, C = 33.6°, c = 230 in
A
in2
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The problem refers to triangle ABC. Find the area of the triangle. Round to three significant digits. 115.40, C = 33.6°, c = 230 in A in2

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Step 1

From the given information it is observed that,

A 115.4°,C 33.6°, and c = 230 in
It is known that, the measure of all sides of a triangle is 180°.
That implies
AB C 180°
B 1800 A- C
B 180° -115.4° -33.6°
B 31°
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A 115.4°,C 33.6°, and c = 230 in It is known that, the measure of all sides of a triangle is 180°. That implies AB C 180° B 1800 A- C B 180° -115.4° -33.6° B 31°

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Step 2

It is known that,

sin A
sin C
a
c sin A
a =
sin C
(230 in.) sin(115.4°
sin(33.6°)
a 375.443 in
a
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sin A sin C a c sin A a = sin C (230 in.) sin(115.4° sin(33.6°) a 375.443 in a

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Step 3

It is known ...

sin C sin B
b
C
c sin B
b
sin C
(230 in.) sin(31°)
sin(33.6)
b
b 214.059 in
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sin C sin B b C c sin B b sin C (230 in.) sin(31°) sin(33.6) b b 214.059 in

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