Sum of the Lengths of Two Sides of a Triangle The sum of the lengths of two sides of a triangle is equal to the length of the third side. This means that no...
The sum of the lengths of two sides of a triangle is equal to the length of the third side. This means that no matter which two sides we measure, their sum will always be equal to the length of the third side.
Example:
Let's say we have a triangle with sides A, B, and C, where:
AB = 5 cm
BC = 12 cm
AC = 13 cm
According to the theorem, the sum of the lengths of the two shorter sides (AB and BC) is equal to the length of the third side (AC). In this case, 5 cm + 12 cm = 13 cm, which is indeed equal to the length of AC.
Additional points:
This theorem applies to any triangle, regardless of its angle measurements.
The sum of the lengths of the two shorter sides can be found by simply adding the lengths of those two sides together.
The sum of the lengths of the two shorter sides is always greater than or equal to the length of the third side. This is because the third side must always be longer than either of the two shorter sides.
This theorem can be used to solve a variety of problems involving triangles, such as finding the area, perimeter, or angle measures of a triangle