Question

which side of xyz is the longest?

Answer 1

Answer:

B) XZ

Step-by-step explanation:

First we find the measure of the missing angle.  The sum of the angles of a triangle is 180; this means the missing angle is

180-(60+43) = 180-103 = 77

The shortest side of a triangle is across from the smallest angle; the largest side of a triangle is across from the largest angle.  The largest angle is ∠Y; this makes the side opposite this angle, XZ, the longest side.

Answer 2

The longest side of the given triangle is line segment XZ. The side opposite the larger angle is the largest side of the triangle.

What are the properties of the triangle?

The general properties of the triangle are:

• A triangle has three sides and three angles
• The longer side and the larger angle are opposite each other
• The smaller side and the smaller angle are opposite each other
• The sum of all the angles in a triangle is 180°

Finding the longer side of the given triangle:

The given ΔXYZ has two angles 60° and 43°.

So, the third angle is calculated as follows:

∠Y + 60° + 43° = 180°

∠Y = 180° - 103°

∠Y = 77°

Thus, ∠Y = 77° is the largest angle in the given triangle.

The side opposite to the ∠Y is XZ. So, it will be the longer side.

Therefore, the longest side of the given ΔXYZ is XZ. So, option B is correct.

Learn more about the longest sides and larger angles of a triangle here:

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