Respuesta :

calculista

Answer:

GH > HJ

The correct symbol is " >" (greater)

Step-by-step explanation:

we know that

In the triangle GHJ applying the law of sines

[tex]\frac{GH}{sin(J)}=\frac{HJ}{sin(G)}[/tex]

substitute the given values

[tex]\frac{GH}{sin(40\°)}=\frac{HJ}{sin(70\°)}[/tex]

Isolate GH

[tex]GH=\frac{HJ}{sin(70\°)}(sin(40\°))[/tex]

[tex]GH=1.46(HJ)[/tex]

therefore

GH > HJ

The correct symbol is " >" (greater)

lublana

Answer:

[tex]GH < HJ[/tex]

Step-by-step explanation:

We are given that

[tex]\angle G=70^{\circ}[/tex]

[tex]\angle J=40^{\circ}[/tex]

We have to fill the correct symbol in the blank space.

Greater angle and greater side theorem: It states that when

[tex]\angle A>\angle B[/tex]

Then, Opposite side to angle  A > opposite side to angle B.

When Opposite side to angle  A > opposite side to angle  B

Then, [tex]\angle A >\angle B[/tex]

Side opposite to angle J=GH

Side opposite to angle G=HJ

Using the above theorem,

[tex]\angle G >\angle J[/tex]

Then, [tex]HJ >GH[/tex]

Hence, [tex]GH < HJ[/tex]

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