Question

In scalene triangle abc, m∠b=45° and m∠c=55°. what is the order of the sides in length, from longest to shortest?

Answer 1

The order of the sides of the triangle is bc>ab>ac as per the rule that side opposite to the larger angle is larger

Answer 2

According to the rule that the side opposite to the larger angle is larger. The order of the sides of the triangle is bc>ab>ac .

How do find if a triangle with a specific side length exists or not?

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

Then, if these three values satisfy the relation:

$a < b +c\\b < a + c\\c < a + b$

Then they are for sure the side length of a triangle.

In scalene triangle ABC, m∠b=45° and m∠c=55°.

The order of the sides of the triangle is bc>ab>ac according to the rule that the side opposite to the larger angle is larger.

Learn more about the triangle inequality theorem here:

https://brainly.com/question/342881

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