Which shows the order of the angles from smallest to largest? angle A, angle B, angle C angle B, angle A, angle C angle B, angle C, angle A angle C, angle A, angle B

Question

asked Aug 9, 2020 19.5k views

2 Answers

Openwonk · Answer 1 · 2020-08-16T02:52:15+0000

Answer:

The required order of the angles from smallest to largest are

angle B, angle A, angle C .

Explanation:

Given:

$AB = 22\\AC = 12\\BC = 16$

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have
AC < BC < AB

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is

angle B, angle A, angle C .