Answered

IDNLearn.com offers expert insights and community wisdom to answer your queries. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

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

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.