Question

An isosceles triangle has legs with length 14 units. Which of the following could be the perimeter of the triangle? Choose all that apply. Explain your reasoning.
A 56
B 40
C 30
D 28
E 55


By the Triangle Inequality Theorem, the range of possible lengths of the third side is 0 < x <
.
So, the perimeter for all possible triangles must be greater than
units and less than
units.

Answer 1

Answer:

B 40

C 30

E 55

By the Triangle Inequality Theorem, the range of possible lengths of the third side is 0 < x < 28.

So, the perimeter for all possible triangles must be greater than 28 units and less than 56 units.

Step-by-step explanation:

We are given an isosceles triangle has legs with length 14 units.

Therefore, another equal side would also be equal to 14 units.

Sum of two equal sides = 14+14 = 28 units.

Therefore, third sides would be less than 28 inches.

So, the perimeter of the triangle could be

28+28 = 56 that is less than 56 but greater than 28.

So, we could choose options B and C.

B 40

C 30

E 55

By the Triangle Inequality Theorem, the range of possible lengths of the third side is 0 < x < 28.

So, the perimeter for all possible triangles must be greater than 28 units and less than 56 units.