Question

Which of the following side-angle relationships in AABC are true? Select all that apply.

A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.

Answer 1

C. The smallest angle is opposite the smallest side.

D. The largest angle is opposite the largest side.

Explanation:

In a triangle ABC the sides are directly related to the angles and they have a positive correlation. This means that a angle that is larger will be opposite a larger side, and the reverse is also true, that a side that is larger will be opposite a larger angle. Therefore the largest angle is opposite the largest side, and the smallest angle is opposite the smallest side. Options C. and D. are correct.

Answer 2

The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.

What are a triangle's properties?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The properties of a triangle are:

Three sides, three angles, and three vertices make up a triangle.

A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.

Any two triangle sides can add up to a length that is longer than the third side.

The greatest side of a triangle is the side that faces the largest angle.

Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.

Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.