Web Analytics
pamin9ePalczy
Answered

Which of the following is the statement of the triangle inequality theorem?

AThe sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
BThe sum of the lengths of any two sides of a triangle is greater than the length of the third side.
CThe longest side of a triangle is opposite the largest angle.
DThe largest angle of a triangle is between the two longest sides.

Verified Answer :

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

calculista

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

\(a+b > c\)

case 2)

\(a+c > b\)

case3)

\(c+b > a\)

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Related Questions