Question

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

REFER TO ATTACHMENT! fake answers will be reported & deleted.

Answer 1

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,

`:\implies\tt{x + c + b = 180}`

`:\implies\tt{x + 81 + 17 = 180}`

`:\implies\tt{x + 98 = 180}`

`:\implies\tt{x = 180 - 98}`

`:\implies\tt{x = 85}`

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

`\implies` 17 < 81 < 82

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

`\implies` AC < AB < BC

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

Answer 2

Let the unknown angle be x

`\\ \sf\longmapsto x+81+17=180`

`\\ \sf\longmapsto x+98=180`

`\\ \sf\longmapsto x=180-98`

`\\ \sf\longmapsto x=82`

Increasing order:-

`\\ \sf\longmapsto 17<81<82`

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

Increasing order

`\\ \sf\longmapsto AC<AB<BC`