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12345 [234]
3 years ago
14

Use the Law of Sines to solve the following triangle. Approximate your answers to the nearest tenths. c = 10.2 in, A = 45.1° B =

75.8°
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0
Law of sines says
a/sinA=b/sinB=c/SinC
where a,b,c are sides of a triangle and A,B,C are angles respectively.
a/sin45.1=c/sin59.1

(we can find angle C by sum of angles of a triangle is 180.)

a=sin(45.1) x 10.2/sin (59.1)

a=0.708 x 10.2/0.85
a=8.496
a=8.5 units

now u can find b and c sides.

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Step-by-step explanation:

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3 years ago
An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that
Sphinxa [80]

Answer:

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⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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We know that,

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So, According to the question :

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

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{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

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{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

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{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

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{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

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Therefore,

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Factor 4 out of 8 a + 12 b:

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