Answered

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HELP!!!! Order the lengths of the sides of ABC from greatest to least
A=78. B=56. C=46
Enter the name of each side In alphabetical order. For example, enter the side opposite

HELP Order The Lengths Of The Sides Of ABC From Greatest To Least A78 B56 C46 Enter The Name Of Each Side In Alphabetical Order For Example Enter The Side Oppos class=

Sagot :

The comparison of the lengths of the sides based on the angles are given

by sine rule.

The lengths of the sides from greatest to least are;

  • BC > AC > AB

Reasons:

The given parameters are;

∠A = 78°, ∠B = 56°, ∠C = 46°

By sine rule, we have;

[tex]\displaystyle \frac{AC}{sin(56^{\circ})} = \frac{AB}{sin(46^{\circ})} = \frac{BC}{sin(78^{\circ})}[/tex]

Given that, sin(46°) ≈ 0.719, sin(56°) ≈ 0.829, sin(78°) ≈ 0.978, we have;

sin(78°) > sin(56°) > sin(46°)

Therefore, applying equal proportions of similar ratios, we have;

BC > AC > AB

Learn more about sine rule here:

https://brainly.com/question/7591047

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