Nathan cut an isosceles triangle from felt to make a spirit banner. two sides of his banner had the following measures : 15 inches and 7 inches. which could be the measure of the third side of nathan’s banner ?

we know that

Since the triangle is isosceles, two sides have the same length.  This gives us the possibility to choose between or inches.

The Triangle Inequality Theorem states that the sum of any sides of a triangle must be greater than the measure of the third side

Applying the Triangle Inequality Theorem, three conditions must be satisfied

Let

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

Let's analyze the two possibilities

Possibility N 1

-------> is not ok

-----> is ok

-----> is ok

so

the third side cannot be inches

Possibility N 2

-------> is ok

-----> is ok

-----> is ok

so

the third side is inches

therefore

the answer is

the third side is inches

just needed some points but try socratic

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.