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List the sides and angles of △ABC in order from smallest to largest.

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List The Sides And Angles Of ABC In Order From Smallest To Largest REFER TO ATTACHMENT Fake Answers Will Be Reported Amp Deleted class=

Sagot :

Let the unknown angle be x

[tex]\\ \sf\longmapsto x+81+17=180[/tex]

[tex]\\ \sf\longmapsto x+98=180[/tex]

[tex]\\ \sf\longmapsto x=180-98[/tex]

[tex]\\ \sf\longmapsto x=82[/tex]

Increasing order:-

[tex]\\ \sf\longmapsto 17<81<82[/tex]

Shortest side has shortest opposite angle and largest side has largest opposite angle.

Increasing order

[tex]\\ \sf\longmapsto AC<AB<BC[/tex]

S O L U T I O N:

Here in given ∆ABC we have been given that measure of angles C & B are 81° and 17° respectively. So first of all we need to find out the angle A. By sum of property of triangle we know that sum of all angles of triangle tends to 180°. Let 'x' be the angle for measure of angle A.

Now,

[tex]:\implies\tt{x + c + b = 180}[/tex]

[tex]:\implies\tt{x + 81 + 17 = 180}[/tex]

[tex]:\implies\tt{x + 98 = 180}[/tex]

[tex]:\implies\tt{x = 180 - 98}[/tex]

[tex]:\implies\tt{x = 85}[/tex]

Now for the increasing order for the given angles can be given by,

[tex]\implies[/tex] 17 < 81 < 82

Now for the increasing order for the given sides of ∆ABC can be given by,

[tex]\implies[/tex] AC < AB < BC

PS: (Shortest side have shortest angle and largest side have largest angle in triangle.)

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